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Chapter 3: Q. 7 (page 151)

Solve the inequality. Graph and check your solution.

5y+2鈮�y+34

Short Answer

Expert verified

Solution of the inequality isy鈮�8 .

Step by step solution

01

Step-1- Solve the inequality

5y+2鈮�y+34

Subtract 2 and y from both the sides.

5y+2鈮�y+345y+2鈭�2鈭�y鈮�y+34鈭�2鈭�y

Divide both sides by 4.

y鈮�324y鈮�8

02

Step-2- Graph the inequality

The solution of the inequality isy鈮�8 .

That means, all values y鈮�8satisfy 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�8and substitute in the original inequality and observe the result.

Takey=0.

Then,

5脳0+2鈮�0+340+2鈮�342鈮�34

The result2鈮�34 is true. So, the solution y鈮�8is correct.

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Most popular questions from this chapter

Solve the equation. Check your solution.

-15n+16=86-29n

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14a-93=49-57a

Explain why the equation 5z + 2 = 5z has no solution.

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Use a calculator to solve the equation. Check your solution.

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