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Chapter 2: Q.481 (page 208)

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

6x-5=2x+3

Short Answer

Expert verified

The solution of the equality is x={14,-2}

The graph of the inequality can be given as

Step by step solution

01

Given information

We are given an equality6x-5=2x+3

02

Write the equivalent equations

6x-5=-2x-3or6x-5=2x+3

03

Solving the equation 

6x-5=-2x-38x=2x=14or6x-5=2x+34x=8x=2

04

graph the equality

05

Conclusion

The solution of the equality isx={14,2}

The graph of the equality is

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