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Chapter 1: Q43. (page 44)

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

43. 2n-7鈮�0

Short Answer

Expert verified

Given inequality has solution n=72

Solution on number line is

Step by step solution

01

- Definition of absolute value inequality

For real numbers aandbwith b>0

Absolute value inequality is a<b when -b<aanda<b, and

Absolute value inequality is a>b when a<-bora>b

02

- Simplify 2n-7≤0

From definition of absolute value, it is the distance of a point from 0, so it is always greater than or equal to 0. But in given expression absolute value is less than or equal to 0 so it has only one solution point when 2n-7=0

Simplify this expression to get,

2n鈭�7=02n=7n=72

03

- Graph the solution set

As given expression has only one solution point, so it is represented on number line by marking that point

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