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Solve the compound inequality, graph the solution set, and write in interval notation:

[6x - 3 < x + 12 or 5x - 6 > 3x + 2]

1 Answer

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The graph of the inequality is attached

The solution set, in interval notation, is (-∞, 3) U (4, ∞)

How to solve the compound inequality

The given data

6x - 3 < x + 12 or 5x - 6 > 3x + 2

solve each inequality separately

Case 1: 6x - 3 < x + 12

5x < 15

x < 3

Case 2: 5x - 6 > 3x + 2

2x > 8

x > 4

combine the solutions with "or":

x < 3 or x > 4

The solution set, in interval notation, is (-∞, 3) (4, ∞)

Solve the compound inequality, graph the solution set, and write in interval notation-example-1
User Simon Cross
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