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 5

07/12/2021 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:

Essay & Assignment Help
Instant Assignment Writer
Exam Attempter
24/7 Assignment Help
Top Grade Essay
Homework Tutor
Writer Writer Name Offer Chat
Essay & Assignment Help

ONLINE

Essay & Assignment Help

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

$35 Chat With Writer
Instant Assignment Writer

ONLINE

Instant Assignment Writer

I have read your project description carefully and you will get plagiarism free writing according to your requirements. Thank You

$43 Chat With Writer
Exam Attempter

ONLINE

Exam Attempter

I am an academic and research writer with having an MBA degree in business and finance. I have written many business reports on several topics and am well aware of all academic referencing styles.

$19 Chat With Writer
24/7 Assignment Help

ONLINE

24/7 Assignment Help

I reckon that I can perfectly carry this project for you! I am a research writer and have been writing academic papers, business reports, plans, literature review, reports and others for the past 1 decade.

$19 Chat With Writer
Top Grade Essay

ONLINE

Top Grade Essay

This project is my strength and I can fulfill your requirements properly within your given deadline. I always give plagiarism-free work to my clients at very competitive prices.

$32 Chat With Writer
Homework Tutor

ONLINE

Homework Tutor

I am a PhD writer with 10 years of experience. I will be delivering high-quality, plagiarism-free work to you in the minimum amount of time. Waiting for your message.

$30 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

Collapse of quebec bridge - Marketing - Hsc legal studies shelter essay - Operations management chapter 9 - Effect of eye level shot - Business Environment - Student understanding aid 9th edition solutions - Ams mit moodle - The biology of osmosis jones answers - Factoring ax2 bx c - Their eyes were watching god ch 19 - S 3 methyl 2 butanol - Civil 3d sanitary sewer analysis - Nursing care plan acute appendicitis - Web dubois vs booker t washington poem - Demeter and persephone myth summary - Tom and jerry slicked up pup vimeo - Amide synthesis of phenacetin - Redox titration real life application - How do we know the bible is reliable - M7D1 - For all work solver - C# catch multiple exception types - Sources of error in ph lab - St george christian college - Is plastic a synthetic material - How do you solve stoichiometry problems - Investment decision under certainty - How to check voicemail lebara - Plot diagram template doc - Book and Article questions - Calculus ab practice test - Add user to microsoft volume licensing service center - Morph text into shape - Strategic management - Discussion - Signature assignment challenges of expansion to a foreign location - Bupa pre existing condition form - Attributes of a square - Automotive Manufacturing Company and Risks Management – about Tesla - Pandora's box 7 game list - Teuer furniture - Module 1 Discussion - 2/20 patty street mentone - World War 2 - Apply a circle style cell bevel to the first row - What was the result of the child study movement - Physio logic 5 sec thermometer instructions - How to operate a milling machine - Business Strategies (Specific Assigned Topic) - Key agencies regulating and enforcing rsa in nsw - How is naplan data collected - Managerial accounting - Assertive vs aggressive examples - Ligoptp 5 23 pro - Army leadership development program ppt - Mendel conducted his most memorable experiments on - A hidps can monitor systems logs for predefined events - Persuasive Speach Part II - Smarter than you think summary - Ima statement of ethical professional practice citation - Thank you esther forbes - CRIM J 3 - History Thesis Assignment - Lochermill boarding cattery ltd - NURSING care p; - Climax sentence structure examples - Invictus main characters - Pig commands in hadoop pdf - Healthstream cultural competence test answers - Acid base reaction endothermic or exothermic - Galen college of nursing syllabus - Redid in a sentence - Market maneuvering among industry rivals - What are the five considerations when producing podcasts - Managerial economics a problem solving approach 4th edition free pdf - Uddingston grammar phone number - Pick one of the websites that you explored and Write a brief description (~250 words) - The mask you live in questions and answers - Where is vitamin b2 absorbed - Onboarding strategies to supercharge millennial employees - Rhondda valley pigeon federation - What is the meaning of deci - Journal article - Ort in email etiquette stands for - Taxation (120 words) - Breakfast on pluto sparknotes - Kindly give me answer for a case study - Manage knowledge and information bsbinm601a - Ifsm 300 stage 4 cic - Cleansing action of soap is due to - Swinburne online semester dates - Toshiba air conditioning rbc amt32e manual - Pat by john ahearn and rigoberto torres - Death Penalty in America 2 - A major principle underlying the sq3r study method is that - Health the basics 13th edition by rebecca j donatelle - Picot question for short staffing - Research Paper Draft - Koch and co coupon