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Chapter 5: Q11. (page 323)

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

w鈭�4>9

Short Answer

Expert verified

The solution of the given inequality w鈭�4>9is w>13.

The graph of the solution of the given inequality w鈭�4>9that is graph w>13of is:

Step by step solution

01

Step 1. Write the addition property of inequalities.

The addition property of inequalities states that if the same number is added to 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 w−4>9.

The solution of the given inequality w鈭�4>9is:

localid="1647495499346" w鈭�4>9w鈭�4+4>9+4w>13(byusingadditionpropertyofinequality)

Therefore, the solution of the given inequality w鈭�4>9is w>13.

03

Step 3. Draw the graph of the inequality.

The graph of the solution of the given inequality w鈭�4>9that is graph ofw>13is:

It can be noticed that at w=13, there is open circle because 13 is not included in the inequality w>13.

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