CA Foundation Exam > CA Foundation Questions > Find the range of real values of x satisfying...
Start Learning for Free
Find the range of real values of x satisfying the inequalities 3x-2 >7 and 4x-13>15?
Most Upvoted Answer
Find the range of real values of x satisfying the inequalities 3x-2 >7...
Finding the Range of Real Values of x Satisfying Inequalities
- Understanding the Inequalities:
- The inequality 3x-2 >7 means that the expression 3x-2 is greater than 7. This can be written as:
- The inequality 4x-13>15 means that the expression 4x-13 is greater than 15. This can be written as:
- Solving the Inequalities:
- For the first inequality, we add 2 to both sides:
- Then, we divide both sides by 3:
- This means that any value of x greater than 3 will satisfy the first inequality.
- For the second inequality, we add 13 to both sides:
- Then, we divide both sides by 4:
- This means that any value of x greater than 7 will satisfy the second inequality.
- Combining the Solutions:
- The solution set for the first inequality is x >3.
- The solution set for the second inequality is x >7.
- The intersection of these solution sets is x >7, since any value of x greater than 7 will satisfy both inequalities.
- Final Answer:
Before solving the inequalities, it is important to understand what they mean:
3x-2 >7
4x-13>15
To solve the inequalities, we need to isolate x on one side of the inequality sign:
3x-2+2 >7+2
3x >9
3x/3 >9/3
x >3
4x-13+13 >15+13
4x >28
4x/4 >28/4
x >7
To find the range of real values of x that satisfy both inequalities, we need to find the intersection of the two solution sets:
The range of real values of x satisfying the inequalities 3x-2 >7 and 4x-13>15 is:
x >7
Attention CA Foundation Students!
To make sure you are not studying endlessly, EduRev has designed CA Foundation study material, with Structured Courses, Videos, & Test Series. Plus get personalized analysis, doubt solving and improvement plans to achieve a great score in CA Foundation.
|
Explore Courses for CA Foundation exam
|
|
Similar CA Foundation Doubts
Top Courses for CA FoundationView all
Find the range of real values of x satisfying the inequalities 3x-2 >7 and 4x-13>15?
Question Description
Find the range of real values of x satisfying the inequalities 3x-2 >7 and 4x-13>15? for CA Foundation 2024 is part of CA Foundation preparation. The Question and answers have been prepared according to the CA Foundation exam syllabus. Information about Find the range of real values of x satisfying the inequalities 3x-2 >7 and 4x-13>15? covers all topics & solutions for CA Foundation 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Find the range of real values of x satisfying the inequalities 3x-2 >7 and 4x-13>15?.
Find the range of real values of x satisfying the inequalities 3x-2 >7 and 4x-13>15? for CA Foundation 2024 is part of CA Foundation preparation. The Question and answers have been prepared according to the CA Foundation exam syllabus. Information about Find the range of real values of x satisfying the inequalities 3x-2 >7 and 4x-13>15? covers all topics & solutions for CA Foundation 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Find the range of real values of x satisfying the inequalities 3x-2 >7 and 4x-13>15?.
Solutions for Find the range of real values of x satisfying the inequalities 3x-2 >7 and 4x-13>15? in English & in Hindi are available as part of our courses for CA Foundation.
Download more important topics, notes, lectures and mock test series for CA Foundation Exam by signing up for free.
Here you can find the meaning of Find the range of real values of x satisfying the inequalities 3x-2 >7 and 4x-13>15? defined & explained in the simplest way possible. Besides giving the explanation of
Find the range of real values of x satisfying the inequalities 3x-2 >7 and 4x-13>15?, a detailed solution for Find the range of real values of x satisfying the inequalities 3x-2 >7 and 4x-13>15? has been provided alongside types of Find the range of real values of x satisfying the inequalities 3x-2 >7 and 4x-13>15? theory, EduRev gives you an
ample number of questions to practice Find the range of real values of x satisfying the inequalities 3x-2 >7 and 4x-13>15? tests, examples and also practice CA Foundation tests.
|
|
Explore Courses for CA Foundation exam
|
|
Suggested Free Tests
Signup for Free!
Signup to see your scores go up within 7 days! Learn & Practice with 1000+ FREE Notes, Videos & Tests.
|
© EduRev
|
Education Revolution
|
|
Signup to see your scores
go up within 7 days!
Access 1000+ FREE Docs, Videos and Tests
Takes less than 10 seconds to signup