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13.) -5 s 3x-8 < 6

13.) -5 s 3x-8 < 6

Algebra and Trigonometry (6th Edition)
Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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a. solve each inequality b. write the solution set builder c. write the solution in interval notation d. graph the solution
13.) -5 s 3x-8 < 6
Transcribed Image Text:13.) -5 s 3x-8 < 6
Expert Solution
Step 1

a.

Consider the given inequality,

-5⩽3x-8<6

Use property that if we add of subtract a positive number from both side the inequality the sign of inequality remains unchanged.

Add 8 both sides of the inequality as follows,

-5+8⩽3x-8+8<6+83⩽3x<14

Now, Use property that if we multiply of divide a positive constant from both side the inequality the sign of inequality remains unchanged.

divide by 3 both sides of the inequality as follows,

33⩽3x3<1431⩽x<143

 

Step 2

b.

The set builder notation of the solution is,

x∈ℝ  x⩾1 and x<143 

c.

The Interval notation of the solution is,

Algebra homework question answer, step 2, image 1

 

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