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

3x-4≥2

Short Answer

Expert verified

The solution of the above inequality is -∞,23∪2,∞

The graph of the inequality can be given as

Step by step solution

01

Given information

We are given an inequality3x-4≥2

02

We write the equivalent equations

3x-4≤-2or3x-4≥2

03

Solve the given inequalities

3x-4≤-23x≤2x≤23or3x-4≥23x≥6x≥2

04

Graph the inequality

05

Conclusion

The solution of the inequality is-∞,23∪2,∞

The graph of the inequality is

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