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Chapter 1: Q17. (page 37)

Solve each inequality. Describe the solution set using set-builder or interval notation. Then graph the solution set on number line.

5x<35

Short Answer

Expert verified

Solution of inequality 5x<35 is x<7

In interval form, solution set is -鈭�,7

Solution set on number line is

Step by step solution

01

- Write properties of inequality

Properties of inequalities are written in following table:

02

- Simplify 5x<35

To simplify given inequality, use division property of inequalities. Divide by same positive number does not change the sign of inequality as shown below

5x<355x5<355x<7

03

- Write solution set

The solution set of the inequality contains all real numbers less than 7

As, 7 is not included in the set so parentheses is used with it also -鈭� is not included so parentheses is used with it.

In interval form solution set is -鈭�,7

04

- Graph the solution set

Assolution set of the inequality is all real numbers less than 7

So arrow is towards -鈭� and open circle on 7 shows it is not included in the solution set.

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