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Chapter 5: Q16. (page 323)

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

y+1鈮�8

Short Answer

Expert verified

The solution of the given inequality y+1鈮�8is role="math" localid="1647497248186" y鈮�7.

The graph of the solution of the given inequality y+1鈮�8that is graph ofy鈮�7 is:

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 y+1≤8.

The solution of the given inequality y+1鈮�8is:

y+1鈮�8y+1鈭�1鈮�8鈭�1(byusingsubtractionpropertyofinequality)y鈮�7

Therefore, the solution of the given inequalityy+1鈮�8 is y鈮�7.

03

Step 3. Draw the graph of the inequality y≤7.

The graph of the solution of the given inequalityy+1鈮�8 that is graph ofy鈮�7 is:

It can be noticed that at y=7, there is closed circle because 7 is included in the inequality y鈮�7.

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

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