CA Foundation · Quantitative Aptitude · Linear Inequalities
Which of the following values of x satisfies the inequality 2x − 7 ≥ 5 and x < 10 both together, with x an integer?
The value 6 satisfies both conditions. The first inequality, 2x − 7 ≥ 5, gives x ≥ 6, and the second requires x < 10. Only 6 among the options lies in this range; 5 is too small and 10 and 11 are too large.
- A5
- B6Correct
- C10
- D11
Explanation
2x − 7 ≥ 5 gives x ≥ 6. Combined with x < 10, the integers are 6, 7, 8, 9. Among the options, only 6 qualifies. The value 5 fails the first condition, while 10 and 11 fail x < 10.
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