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Chapter 5: Q. 1 PT (page 325)

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

x鈭�9<鈭�4

Short Answer

Expert verified

The solution of the given inequalityx鈭�9<鈭�4 is x<5.

The graph of the solution of the given inequality x鈭�9<鈭�4that is graph of x<5is:

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:

  1. If a>b, then a+c>b+c.
  2. If a<b, then a+c<b+c.
02

Step 2. Solve the given inequality x−9<−4.

The solution of the given inequality x鈭�9<鈭�4is:

x鈭�9<鈭�4x鈭�9+9<鈭�4+9byusingadditionpropertyofinequalityx<5

Therefore, the solution of the given inequalityx鈭�9<鈭�4 is x<5.

03

Step 3. Draw the graph of the inequality x<5.

The graph of the solution of the given inequalityx鈭�9<鈭�4 that is graph ofx<5 is:

It can be noticed that at x=5, there is open circle because 5 is not included in the inequality x<5.

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