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5 votes
|5x-4|>16 solutions

1 Answer

4 votes

Answer:

x >4 or x < -12/5

Explanation:

An absolute value has 2 solutions, a positive and a negative. Remember to flip the inequality for the negative solution

|5x-4|>16

5x-4 > 16 5x-4 < -16

Add 4 to each side

5x-4 +4> 16+4 or 5x-4+4 < -16+4

5x > 20 or 5x < -12

Divide each side by 5

5x/5 > 20/5 or 5x/5 < -12/5

x >4 or x < -12/5

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