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Chapter 2: Q316 (page 183)

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

12x+3x+7>10x-24

Short Answer

Expert verified

x>-9

(-9,鈭�)

Step by step solution

01

Step 1. Given information.

The following inequality is given:

12x+3x+7>10x-24

02

Step 2. Solving the inequality.

Distributing and combining like terms

12x+3x+21>10x-2415x+21>10x-24

Subtracting 10x+21from both sides and simplifying

15x+21-10x-21>10x-24-10x-215x>-45x>-455x>-9

03

Step 3. Graphing the solution on the number line.

The graph of the solution on the number line is presented below

04

Step 4. Writing the solution in the interval notation.

In the interval notation, the solution can be written as

-9,鈭�

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