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Chapter 2: Q. 2.99 (page 173)

Solve each inequality, graph the solution on the number line, and write the solution in interval notation:

a)p鈭�34鈮�16b)9c>72c)24鈮�38m

Short Answer

Expert verified

The solution to the given problems are:

a)p鈮�1112orp鈭�[1112,鈭�)b)c>8orc鈭�(8,鈭�)c)m鈮�64or[64,鈭�]

Step by step solution

01

Step 1. Solving Part (a).

We have

a)p鈭�34鈮�16p鈮�16+34p鈮�2+912p鈮�1112鈬�p鈭�[1112,鈭�)

We show this in a number line :

02

Step 2. Solving Part (b).

We have

b)9c>72c>729c>8orc鈭�(8,鈭�)

We show this in a number line :

03

Step 3. Solving Part (c).

We have

c)24鈮�38m24脳83鈮�m8脳8鈮�mm鈮�64or[64,鈭�]

We show this in a number line :

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