CA Foundation · Quantitative Aptitude · Linear Inequalities
The solution set of the inequality 5 − 3x > 11, where x is a real number, is:
The solution is x < −2. Subtracting 5 gives −3x > 6, and dividing both sides by the negative number −3 reverses the inequality sign, so x is less than −2. Keeping the original direction would wrongly give x > −2.
- Ax < −2Correct
- Bx > −2
- Cx < 2
- Dx > 2
Explanation
Subtract 5 from both sides to get −3x > 6. Dividing by −3 reverses the inequality sign, so x < −2. Choosing x > −2 comes from forgetting to reverse the sign when dividing by a negative number.
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