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Chapter 3: Q. 14 (page 151)

Solve the inequality. Graph your solution.

2y+7>11

Short Answer

Expert verified

Solution of the inequality is y>2.

Step by step solution

01

Step 1. Solve the inequality

2y+7>11

Subtract 7 from both the sides.

2y+7鈭�7>11鈭�72y>4

Divide both sides by 2.

y>42y>2

02

Step 2. Graph the inequality

The solution of the inequality is y>2.

That means, all values y>2 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, y>2 and substitute in the original inequality and observe the result.

Take y=4.

Then,

2脳4+7>118+7>1115>11

The result15>11 is true. So, the solutiony>2 is correct.

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