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Chapter 1: Q51. (page 50)

Solve each inequality. Graph the solution set on a number line.

3b+11>1

Short Answer

Expert verified

Solution set of inequality is b|-103<borb<-4.

Solution set on number line is

Step by step solution

01

- Write properties of inequality.

Properties of inequalities are written in following table:

02

- Solve 3b+11>1.

3b+11>1 is equivalent to 3b+11>1 or 3b+11<-1.

Consider, 3b+11>1. Subtract 11 from each part then divide each part by 3 and simplify.

3b+11−11>1−113b3>−103b>−103

03

– Description of step.

Consider, 3b+11<-1. Subtract 11 from each part then divide each part by 3 and simplify.

3b+11−11<−1−113b3<−123b<−4

Thus, solution is b>-103 or b<-4.

04

– Graph the solution set.

Assolution set of the inequality is all real numbers greater than -103 or less than -4.

The solution set is, b|-103<borb<-4.

Open circles on -103and -4shows these points are excluded in the solution set.

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