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Chapter 3: Q. 6 (page 151)

Solve the inequality. Graph and check your solution.

10>6+y5

Short Answer

Expert verified

Solution of the inequality is y<20.

Step by step solution

01

Step-1- Solve the inequality

10>6+y5

Subtract 6 from both the sides.

10鈭�6>6鈭�6+y54>y5

Multiply both sides by 5.

4脳5>y5脳520>yy<20

02

Step-2- Graph the inequality

The solution of the inequality isy<20.

That means, all valuesy<20satisfy 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<20and substitute in the original inequality and observe the result.

Takey=0.

Then,

10>6+0510>6+010>6

The result 10>6is true. So, the solution is correct.y<20

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