CA Foundation · Quantitative Aptitude · Linear Inequalities
Which of the following points lies in the solution region of the inequality 2x + 3y < 12?
The point (2, 2) lies in the region because 2(2) + 3(2) = 10, which is less than 12. The other points give 15, 15 and 12, so they fail; (0, 4) lies exactly on the excluded boundary line.
- A(3, 3)
- B(6, 1)
- C(2, 2)Correct
- D(0, 4)
Explanation
Evaluate 2x + 3y at each point. (3, 3) gives 15, (6, 1) gives 15, (2, 2) gives 10 and (0, 4) gives 12. Only 10 is strictly less than 12. The point (0, 4) lies on the boundary line, which is excluded because the inequality is strict.
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
- If x is a real number and 4 − 5x < 24, which of the following gives the solution set?
- Ramesh Traders sells a notebook at ₹40 per unit. Its fixed cost is ₹12,000 and the variable cost is ₹25 per notebook. What is the minimum nu…
- Consider the region defined by 2x + 3y ≤ 12, x ≥ 0 and y ≥ 0. Which of the following points lies in this solution region?
- If p > q and m < 0, which of the following must be true for real numbers p, q and m?
- A school hall in Indore is rented for ₹4,000 plus ₹50 per guest for a function. The organiser's total budget is at most ₹10,000. If x is the…
- The solution set of the system x + 2 > 5 and 2x − 3 ≤ 11, where x is a real number, is: