Loading...

Messages

Proposals

Stuck in your homework and missing deadline? Get urgent help in $10/Page with 24 hours deadline

Get Urgent Writing Help In Your Essays, Assignments, Homeworks, Dissertation, Thesis Or Coursework & Achieve A+ Grades.

Privacy Guaranteed - 100% Plagiarism Free Writing - Free Turnitin Report - Professional And Experienced Writers - 24/7 Online Support

Which inequality is true for x 20

12/11/2021 Client: muhammad11 Deadline: 2 Day

INSTRUCTOR GUIDANCE EXAMPLE: Week Two Discussion

One-Variable Compound Inequalities

compound inequality

and

or

intersection

union

This is my “and” compound inequality: -7 ≤ 5 + 3x ≤ 20

What that means is the inequality must fulfill two conditions at the same time. It means 5

+ 3x must be equal to or less than 20 and also at the same time greater than or equal to -

7. I think of these as “between” inequalities because it turns out that the solution set for x

will be between two numbers. Now I will find out what those two numbers are.

-7 ≤ 5 + 3x ≤ 20 Subtract 5 from all three parts of the inequality.

-7 – 5 ≤ 5 – 5 + 3x ≤ 20 – 5

-12 ≤ 3x ≤ 15 Divide all three parts by 3

-12 ≤ 3x ≤ 15

3 3 3

-4 ≤ x ≤ 5 So any value of x greater than or equal to -4 and less than

or equal to 5 will make this inequality true.

This -4 ≤ x ≤ 5 is how this compound inequality is written algebraically.

As an intersection of sets it would look like [-4, ) (- , 5] which equals [-4, 5] in

interval notation.

<----------------[-----------|---------------]--------------> Here is a number line graph of the

-4 0 5 solution set.

The square brackets mean that the end points are included in the solution set; notice the

green highlighting extends through the square brackets as well.

This is my “or” compound inequality: 4 – x ≥ 1 or 6x – 3 > 27

What this means is that there are two conditions and one of them must be true with any

given x from the solution set but both cannot be true at the same time. Since the solution

will turn out to be two disjoint intervals, I am going to solve each part of the inequality

separately.

4 – x ≥ 1 Subtract 4 from both sides.

4 – 4 – x ≥ 1 – 4

– x ≥ – 3 We must pay close attention to that negative in front of x. To

remove it I must divide both sides of the inequality by -1 which also means I must flip the

inequality symbol over so it points the other direction.

– x ≤ – 3 Symbol is flipped.

-1 -1

x ≤ 3 This is one part of my “or” compound inequality.

6x – 3 > 27 Add 3 to both sides.

6x – 3 + 3 > 27 + 3

6x > 30 Divide both sides by 6, but it is positive, so no flipping involved.

6x > 30

6 6 x > 5 This is the other part of my “or” compound inequality.

The complete solution set written algebraically is

x ≤ 3 or x > 5

The solution set written in interval notation is the union of two intervals

(- , 3] (5, )

Here is a number line graph of the solution set:

<--------------|-------]------(------------------------------> 0 3 5

Notice that the 3 is included in the solution set but 5 is not.

Homework is Completed By:

Writer Writer Name Amount Client Comments & Rating
Instant Homework Helper

ONLINE

Instant Homework Helper

$36

She helped me in last minute in a very reasonable price. She is a lifesaver, I got A+ grade in my homework, I will surely hire her again for my next assignments, Thumbs Up!

Order & Get This Solution Within 3 Hours in $25/Page

Custom Original Solution And Get A+ Grades

  • 100% Plagiarism Free
  • Proper APA/MLA/Harvard Referencing
  • Delivery in 3 Hours After Placing Order
  • Free Turnitin Report
  • Unlimited Revisions
  • Privacy Guaranteed

Order & Get This Solution Within 6 Hours in $20/Page

Custom Original Solution And Get A+ Grades

  • 100% Plagiarism Free
  • Proper APA/MLA/Harvard Referencing
  • Delivery in 6 Hours After Placing Order
  • Free Turnitin Report
  • Unlimited Revisions
  • Privacy Guaranteed

Order & Get This Solution Within 12 Hours in $15/Page

Custom Original Solution And Get A+ Grades

  • 100% Plagiarism Free
  • Proper APA/MLA/Harvard Referencing
  • Delivery in 12 Hours After Placing Order
  • Free Turnitin Report
  • Unlimited Revisions
  • Privacy Guaranteed

6 writers have sent their proposals to do this homework:

Best Coursework Help
Write My Coursework
Calculation Master
Academic Mentor
High Quality Assignments
Phd Writer
Writer Writer Name Offer Chat
Best Coursework Help

ONLINE

Best Coursework Help

After reading your project details, I feel myself as the best option for you to fulfill this project with 100 percent perfection.

$38 Chat With Writer
Write My Coursework

ONLINE

Write My Coursework

As per my knowledge I can assist you in writing a perfect Planning, Marketing Research, Business Pitches, Business Proposals, Business Feasibility Reports and Content within your given deadline and budget.

$41 Chat With Writer
Calculation Master

ONLINE

Calculation Master

I have assisted scholars, business persons, startups, entrepreneurs, marketers, managers etc in their, pitches, presentations, market research, business plans etc.

$16 Chat With Writer
Academic Mentor

ONLINE

Academic Mentor

Being a Ph.D. in the Business field, I have been doing academic writing for the past 7 years and have a good command over writing research papers, essay, dissertations and all kinds of academic writing and proofreading.

$17 Chat With Writer
High Quality Assignments

ONLINE

High Quality Assignments

I have written research reports, assignments, thesis, research proposals, and dissertations for different level students and on different subjects.

$37 Chat With Writer
Phd Writer

ONLINE

Phd Writer

After reading your project details, I feel myself as the best option for you to fulfill this project with 100 percent perfection.

$36 Chat With Writer

Let our expert academic writers to help you in achieving a+ grades in your homework, assignment, quiz or exam.

Similar Homework Questions

Gray stone and lawson open an accounting practice - Project # - 8th grade science quiz - Department of biostatistics vanderbilt - Electromagnetic induction physics lab report - Sinking fund method problems and solutions - Soc 110 teamwork collaboration and conflict resolution - Promotion and the product life cycle mkt/571 - Single bonds double bonds and triple bonds - Hockley beer - Assessment and plan for organizational culture change at nasa - How does course hero unlocks work - Pirie v saunders case summary - Jetblue employee password reset - FINAL PROJECT - Mount gambier to adelaide - Film analysis essay assignment - Resource management process model - Camping at wilsons prom tidal river - Under armour advertising budget - Movie recommendation system report - Cell homeostasis virtual lab answer - AHCD - Corporate Project - April showers edith wharton analysis - Can water conduct electricity - Chemical changes gizmo answer key activity a - Classroom ethics for students ppt - Technical writing by ta rickard - Metal casket single top split lid cover - Term paper - History of Public Health worldwide - Oral assessment and presentation (Interview) - The good earth characters - A green disc found in palisade cells - Parkinson Disease Case Study - 6.5 turbo diesel cdr valve bypass - Rivers and roads uke - Https studentlogin coloradotech edu _layouts login login aspx - Slack surplus and artificial variables - Global wine war 2009 new world versus old case analysis - What is the molecularity of the following elementary reaction - Shrinkage cracks in concrete slabs - Why you should donate blood persuasive speech outline - Formula for saponification value - Which image is an example of an angular unconformity - What does trini salgado mean in spanish - Toll priority depot nsw - Sapphire ward whiteleaf centre - Week 2 Discussion "Slowing Down Global Warming" - Fin 534 homework set 4 answers - Enzyme amylase action on starch answers - Compare and contrast ionic and covalent bonds venn diagram - Is greg norman married - Final accounts of non trading concern - Week 8 - Healthcare Writing Assignment - How to chat? - Bs 1710 colour chart - Panera bread company case study answers - Wipro lighting price list - Edinburgh castle school visits - Chemical reactions of copper lab answers - Wedding wbs - English - Sentence starters for analysis - Acids and bases tutorial - D and b poker mastering charts - Infants toddlers and caregivers 11th edition chapter 1 - Moped ignition switch wiring diagram - Lower back pain soap note example - 12 angry men movie questions and answers - STT 213 - Infotech in a global summary - Australian government security vetting agency - Prewriting outlines - What is vals in marketing - Capsim how to increase days of working capital - One of the largest categories of specialists is - Hopewell hospital pharmacy case study - Westan corporation uses a predetermined overhead rate - Discussion - Soap notes exercise physiology - How to cite sentinel city in apa format - How to ask supervisor for feedback - 1710 nw 96th ave - A white heron questions and answers - Apply soft edge rectangle picture style - Freud's stages of psychosexual development pdf - Daily mood chart therapist aid - Week7 - Microbiology case study answers - Supply and demand worksheet - Food hygiene ppt presentations - Documentation for below Question - Psychology Paper - Suppose you manage a 4 million fund - Nt demerit points check - SCIENCE Discussion(NO PLAGIARISM, A++ WORK, QUALITY, ON TIME) - Electric field hockey post game analysis answers - Sentiment Analysis Report