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Chapter 3: Q. 4 (page 151)

Solve the inequality. Graph and check your solution.

7鈮�5x-3

Short Answer

Expert verified

Solution of the inequality is x鈮�2.

Step by step solution

01

Step-1- Solve the inequality

7鈮�5x鈭�37+3鈮�5x鈭�3+3Add3onbothsides10鈮�5x105鈮�xDividebothsidesby42鈮�xx鈮�2

02

Step-2- Graph the inequality

The solution of the inequality isx鈮�2.

That means, all values x鈮�2satisfy 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�2and substitute in the original inequality and observe the result.

Takex=0.

Then,

7鈮�5脳0鈭�37鈮�0鈭�37鈮�鈭�3

Observe that 7 is greater than -3. So, the result is true and hence the solution is correct.

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Most popular questions from this chapter

Solve the inequality. Graph and check your solution.

x+4<3

Solve the equation. Check your solution.

5+2(x-2)=19

Solve the inequality. Graph and check your solution.

1鈮�x-9

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Solve the equation. Check your solution.

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