alleryDivide BOTH sides of -6x ≥ 24 by -3. Result:
A-2x ≥ 8
B2x ≤ -8 (sign FLIPS because divided by negative)
C2x ≥ -8
D2x = 8
Answer & Solution
Correct answer: B. 2x ≤ -8 (sign FLIPS because divided by negative)
Dividing both sides by -3 (a negative number) flips the inequality sign: -6x/(-3) = 2x, 24/(-3) = -8, with ≥ flipping to ≤.
**So 2x ≤ -8 → x ≤ -4.**
Keep practising Linear Inequalities
Browse all Linear Inequalities questions for AP Intermediate 1st Year, or explore more Mathematics topics.
Related questions
600 L of 12% acid has x L of 30% acid added to give a mixture between 15% and 18% acid. FiFor pieces x, x + 3 and 2x, the third must be at least 5 cm longer than the second. The lePieces of lengths x, x + 3 and 2x are cut from a 91 cm board. What is the greatest whole vLongest side is 3 times the shortest; third is 2 cm less than longest. Perimeter is at leaFive exams average at least 85 needed. Marks so far are 84, 90, 92 and 94. What least markWhich is the solution of 5x - 3 > 3x - 5?Solve 37 - (3x + 5) > 9x - 8(x - 3) for real x.Solve 2(2x + 3) - 10 < 6(x - 2) for real x.