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Chapter 1: Q62. (page 46)

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

7x+11>9x+3

Short Answer

Expert verified

Solution set of inequality is (-鈭�,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 7x+11>9x+3.

To solve given inequality, use subtraction and division properties of inequality. Subtract 7xthen 3 from each side and do not change the sign of inequality. Then divide each side by 2 and simplify.

7x+11鈭�7x>9x+3鈭�7x11鈭�3>2x+3鈭�382>2x24>x

Thus, solution is4>x.

03

– Describe solution set in interval notation.

Assolution set of the inequality is all real numbers less than 4.

Write the solution set in interval notation.

(-鈭�,4)

04

– Graph the solution set.

Open circle on 4 shows this point is excluded in the solution set.

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