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Chapter 1: Q40. (page 50)

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

40. -7蝇>28

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 −7w>28.

To solve given inequality, use division property of inequality. Divide each side by -7and simplify.

鈭�7蝇>28鈭�7蝇鈭�7<28鈭�7蝇<鈭�4

Thus, solution is 蝇<-4.

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 -4shows this point is excluded in the solution set.

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Most popular questions from this chapter

Write an equation whose solution is -7.

Find the value of each expression

15鈭�2081梅925

Determine which expression below represents the amount of change someone would receive from a \(50bill if they purchased 2 children鈥檚 ticket at \)4.25each and 3 adult ticket at $7each at a movie theatre. Explain.

a.50鈭�2脳4.25+3脳7b.50鈭�2脳4.25+3脳7c.50鈭�2脳4.25+3脳7d.50鈭�2脳4.25+3脳7

Simplify each expression

14. 9p-2n+4p+2n

Use the following information.

Simple interest is calculated using the formula I=prt, where p represents the principal in dollars, rrepresents the annual interest rate, and trepresents the time in years. Find the simple interest Igiven each of the following values.

localid="1645019360494" p=$31,000,r=212%,t=18months
See all solutions

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