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Chapter 2: Q.487 (page 209)

In the following exercises, solve. For each inequality, also graph the solution and write the solution in interval notation.

52x-1-3=7

Short Answer

Expert verified

The solution of the equality is x={-12,32}

The graph of the inequality can be given as

Step by step solution

01

Given information

We are given an equality52x-1-3=7

02

Simplify the inequality

52x-1-3=752x-1=102x-1=2

03

Write equivalent equations

2x-1=-2or2x-1=2

04

Solve the equations

2x-1=-22x=-1x=-12or2x-1=22x=3x=32

05

We plot the graph of the inequality

06

Conclusion

The solution of the above equality isx={-12,32}

The graph of the above equality is

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