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Chapter 1: Q48. (page 50)

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

48. x+1>12

Short Answer

Expert verified

Solution set of inequality is x|x>11orx<-11.

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 x+1>12.

Subtract 1 from each side and simplify.

x+1鈭�1>12鈭�1x>11

03

– Description of step.

x>11 is equivalent to x>11 or x<-11.

Thus, solution is x>11 or x<-11.

04

– Graph the solution set.

Assolution set of the inequality is all real numbers greater than 11 or less than -11.

The solution set is, x|x>11orx<-11.

Open circles on -11 and 11 shows this point is excluded in the solution set.

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