Question:
|3x 2|>1/2
Answer:
Given, |3x + 2| > 1/2
=> 3x + 2 < –1/2 or 3x + 2 > 1/2
=> 3x < –1/2 - 2 or 3x > 1/2 - 2
=> 3x < -5/2 or 3x > -3/2
=> x< -5/6 or x > -1/2
This pair of inequalities is the solution.
the solution to | 3x + 2 | > 1/2 consists of the two intervals x< -5/6 and x > -1/2
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