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Chapter 2: Q.488 (page 209)

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

8-x=4-3x

Short Answer

Expert verified

The solution of the equality is x={-2,3}

The graph of the inequality can be given as

Step by step solution

01

Given information

We are given an equality8-x=4-3x

02

Write the equivalent equations

8-x=4-3xor8-x=-4+3x

03

Solve the equalities

8-x=4-3x2x=-4x=-2or8-x=-4+3x4x=12x=3

04

Graph the equality

05

Conclusion

The solution of the inequality isx={-2,3}

The graph of the inequality is

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