CA Foundation · Quantitative Aptitude · Linear Inequalities
What is the largest integer x satisfying 7 − 3x > −8?
The largest integer is 4. Solving gives −3x > −15, and dividing by −3 reverses the sign to x < 5. Since the inequality is strict, 5 is excluded, so the greatest integer satisfying it is 4.
- A4Correct
- B5
- C6
- D3
Explanation
7 − 3x > −8 gives −3x > −15. Dividing by −3 reverses the sign, so x < 5. The largest integer below 5 is 4. The value 5 is wrong because the inequality is strict and x = 5 gives equality, not greater than.
Did you get it right without looking?
One question tells you little. A timed set on Linear Inequalities shows your real accuracy, how long you take and where you lose marks.
More Linear Inequalities questions
- Find the range of values of k for which the inequality 5k + 8 ≤ 2k + 20 is satisfied.
- Which of the following values of x satisfies the inequality 2x − 7 ≥ 5 and x < 10 both together, with x an integer?
- Consider the feasible region defined by x + y ≤ 8, x − y ≥ 0, x ≥ 0 and y ≥ 0. How many points (x, y) with both x and y non-negative integer…
- For real x, the inequality (x − 2)(x − 6) < 0 holds. Which statement describes all such x?
- How many integer values of x satisfy the system 3x − 5 < 2x + 4 and 4x + 1 ≥ x − 8?
- A mobile recharge shop in Pune earns a commission of ₹3 on each recharge. The owner pays a fixed monthly rent of ₹4,500 and wants a monthly …