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Chapter 2: Q.480 (page 208)

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

2x+6+4=8

Short Answer

Expert verified

The solution of the above equation is x={-4,-8}

The graph of the inequality is

Step by step solution

01

Given information

We are given an equality2x+6+4=8

02

Simplify the inequality by subtracting 4 from both sides and then dividing by 2

2x+6+4=82x+6=4x+6=2

03

Write the equivalent equation 

x+6=-2andx+6=2

04

Solve to get the value of x

x+6=2x=-4 andx+6=-2x=-8

05

Graph the above equation

06

Conclusion

The solution of the equality isx={-4,-8}

The graph of the equality is

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