CA Foundation · Quantitative Aptitude · Linear Inequalities
The solution set of the inequality |3x + 2| > 7, where x is real, is:
The solution is x < −3 or x > 5/3. An absolute value greater than 7 means the expression is above 7 or below −7, giving 3x + 2 > 7 or 3x + 2 < −7, which yield these two ranges.
- A−3 < x < 5/3
- Bx < −3 or x > 5/3Correct
- Cx < −5/3 or x > 3
- D−5/3 < x < 3
Explanation
|3x + 2| > 7 means 3x + 2 > 7 or 3x + 2 < −7. The first gives x > 5/3 and the second gives x < −3. The option −3 < x < 5/3 is the solution of |3x + 2| < 7, so it is wrong.
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