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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

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

Solve the inequality. Graph and check your solution.

1鈮�x-9

Geometry The perimeter of the square is equal to the perimeter of the triangle. The sides of the triangle are equal in length.

  1. Estimate Without doing any calculations, estimate which figure has the greater side length. Explain your choice.
  2. What is the side length and perimeter of each figure?

Check your solution.

2=6h+20

Explain how the graph of x>5 is different from the graph of x鈮�5.
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