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Chapter 3: Q. 28 (page 151)

Solve the inequality. Graph your solution.

x+53鈮�2

Short Answer

Expert verified

Solution of the inequality is x鈮�1.

Step by step solution

01

Step 1. Solve the inequality

x+53鈮�2

Multiply both sides by 3.

x+53脳3鈮�2脳3x+5鈮�6

Subtract 5 on both sides.

x+5鈭�5鈮�6鈭�5x鈮�1

02

Step 2. Graph the inequality

The solution of the inequality is x鈮�1.

That means, all values x鈮�1 satisfy the inequality. So, the graph can be given as shown below.

03

Step 3. Check the solution

To check the solution, take any random number, x鈮�1 and substitute in the original inequality and observe the result.

Take x=1.

Then,

1+53鈮�263鈮�22鈮�2

The result 2鈮�2 is true. So, the solution x鈮�1 is correct.

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