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Chapter 3: Q. 8 (page 151)

Solve the inequality. Graph and check your solution.

6+y鈮�2y-3

Short Answer

Expert verified

Solution of the inequality is y鈮�9.

Step by step solution

01

Step-1- Solve the inequality

6+y鈮�2y鈭�3

Subtract y and add 3 to both the sides.

6+y+3鈭�y鈮�2y鈭�3鈭�y+39鈮�yy鈮�9

02

Step-2- Graph the inequality

The solution of the inequality isy鈮�9.

That means, all values y鈮�9satisfy 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鈮�9and substitute in the original inequality and observe the result.

Takey=0.

Then,

6+0鈮�2脳0鈭�36鈮�0鈭�36鈮�鈭�3

The result 6鈮�鈭�3is true. So, the solutiony鈮�9 is correct.

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