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Chapter 5: Q14. (page 323)

Solve each inequality. Then graph it on a number line.

鈭�5<a+2

Short Answer

Expert verified

The solution of the given inequality 鈭�5<a+2is a>鈭�7.

The graph of the solution of the given inequality 鈭�5<a+2that is graph of a>鈭�7is:

Step by step solution

01

Step 1. Write the subtraction property of inequalities.

The subtraction property of inequalities states that if the same number is subtracted from each side of a true inequality, the resulting inequality is also true that is:

(i) If a>b, then a鈭�c>b鈭�c.

(ii) If a<b, then a鈭�c<b鈭�c.

02

Step 2. Solve the given inequality.

The solution of the given inequality鈭�5<a+2 is:

鈭�5<a+2鈭�5鈭�2<a+2鈭�2鈭�7<aa>鈭�7(byusingsubtractionpropertyofinequality)

Therefore, the solution of the given inequality鈭�5<a+2 is a>鈭�7.

03

Step 3. Draw the graph of the inequality a>−7.

The graph of the solution of the given inequality鈭�5<a+2 that is graph ofa>鈭�7 is:

It can be noticed that at a=鈭�7, there is open circle because鈭�7 is not included in the inequality a>鈭�7.

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Most popular questions from this chapter

Read each question. Then fill in the correct answer on the answer document provided by your teacher or on a sheet of paper.

Kyle scored 14 points in his last basketball game, bringing his total points for the season to over 100. Which number line represents the number of points Kyle has scored prior to the last game?

A.

B.

C.

D.

Solve each inequality. Check your solution.

22>m鈭�8

Daniel wants to ship a set of golf clubs and several boxes of golf balls in a box that can hold up to 14role="math" localid="1647753217203" 20pounds. If the set of clubs weighs 9 pounds and each box of golf balls weighs 12ounces, how many boxes of golf balls can Daniel ship?

Solve each inequality. Then graph the solution set.

|4b鈭�23|<12

Solve each inequality. Check your solution.

15h>3
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