CA Foundation · Quantitative Aptitude · Linear Inequalities
Taking the whole numbers x for which 3 − 2x < 9 and 5x − 4 ≤ 21 hold together, what is the number of such whole numbers?
There are 6 such whole numbers. The first inequality gives x > −3 after reversing the sign, the second gives x ≤ 5, so the whole numbers are 0 to 5.
- A5Correct
- B6
- C7
- D4
Explanation
3 − 2x < 9 gives −2x < 6, so x > −3 (sign reversed). 5x − 4 ≤ 21 gives x ≤ 5. So −3 < x ≤ 5. Whole numbers are 0,1,2,3,4,5, which is 6 values. Option 1 is wrong; the count is 6.
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