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Chapter 1: Q. 25 (page 51)

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

4>b+1

Short Answer

Expert verified

Solution set of inequality is (-鈭�,3).

Solution set on number line is

Step by step solution

01

Step 1. Write properties of inequality.

Properties of inequalities are written in following table:

02

Step 2. Solve 4>b+1.

To solve given inequality, use subtraction and division properties of inequality. Subtract 1 from each side and do not change the sign of inequality.

4鈭�1>b+1鈭�13>b

Thus, solution is 3>b.

03

Step 3. Describe solution set in interval notation.

Assolution set of the inequality is all real numbers less than 3.

Write the solution set in interval notation.

(-鈭�,3)
04

Step 4. Graph the solution set.

Open circle on 3 shows this point is excluded in the solution set.

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