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Chapter 5: Q16. (page 323)

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

y+1≤8

Short Answer

Expert verified

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

The graph of the solution of the given inequality y+1≤8that is graph ofy≤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−c>b−c.

(ii) If a<b, then a−c<b−c.

02

Step 2. Solve the given inequality y+1≤8.

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

y+1≤8y+1−1≤8−1(byusingsubtractionpropertyofinequality)y≤7

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

03

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

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

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

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