CA Foundation · Quantitative Aptitude · Linear Inequalities
Find the range of values of k for which the inequality 5k + 8 ≤ 2k + 20 is satisfied.
Simplifying 5k + 8 ≤ 2k + 20 step by step yields 3k ≤ 12, therefore k ≤ 4. The boundary value 4 is included because the original inequality uses ≤, not strictly less than.
- Ak ≤ 4Correct
- Bk ≥ 4
- Ck > 4
- Dk < 4
Explanation
Subtracting 2k from both sides: 3k + 8 ≤ 20. Subtracting 8: 3k ≤ 12. Dividing by 3: k ≤ 4. This includes k = 4. Option (2) reverses the inequality. Options (3) and (4) exclude k = 4, missing the boundary value from the ≤ relation.
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