How do you simpify #-5| 3x - 2| \geq 15#?

1 Answer
smendyka
Dec 8, 2016

The solution to this problem is the set of all numbers.

Explanation:

First, we need to isolate the absolute value term while keeping the inequality balanced:

#(-5)/(-5)abs(3x - 2) >= 15/-5#

#abs(3x - 2) >= -3#

Because the absolute value function converts any number into a positive number and all positive numbers and 0 are greater than #-3# then the solution to this problem is the set of all numbers.

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