CA Foundation · Quantitative Aptitude · Linear Inequalities
Solve for x: 3(2x − 5) > 4x + 7
Expanding and simplifying the inequality 3(2x − 5) > 4x + 7 gives 6x − 15 > 4x + 7, which reduces to 2x > 22, hence x > 11. The inequality direction remains unchanged because we divide by a positive number.
- Ax > 11Correct
- Bx > 22
- Cx < 11
- Dx < 22
Explanation
Expanding: 6x − 15 > 4x + 7. Subtracting 4x: 2x − 15 > 7. Adding 15: 2x > 22. Dividing by 2: x > 11. Option (2) results from not dividing by 2 after getting 2x > 22. Options (3) and (4) incorrectly reverse the inequality sign.
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