SOLUTION: solve the inequality: |4x-3|≥7

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Question 837150: solve the inequality: |4x-3|≥7

Answer by josgarithmetic(39620) About Me  (Show Source):
You can put this solution on YOUR website!
4x-3 can be negative, or zero or positive. Solve according to less than zero; and greater than or equal to zero.

4x-3%3E=0.
abs%284x-3%29=4x-3%3E=7
4x%3E=7%2B3
4x%3E=10
x%3E=5%2F2
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4x-3%3C0.
abs%284x-3%29=-4x%2B3%3E=7
-4x%3E=4
x%3C=-1, the change in order symbol because multiplied by negative number.
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ANSWER: highlight%28x%3C=-1%29 OR highlight%28x%3E=5%2F2%29