MATHEMATICS

JAMB 2021 - Question 17

Mathematics 2021 JAMB Past Questions - Question 17: Evaluate the inequality x/2+3/4≤5x/6−7/12

Evaluate the inequality x/2+3/4≤5x/6−7/12
A:
B:
C:
D:
Examkits App

Examkit's JAMB CBT App

Practice JAMB offline with our Online, PC and Mobile App

  • ✅ 25+ years of past questions (2000 to 2025)
  • ✅ Video solutions and explanation to questions
  • ✅ E-library
  • ✅ Study by topic
  • ✅ And more.

Correct Answer

B

Explanation

To evaluate the inequality (x/2) + (3/4) ≤ (5x/6) - (7/12), we can follow these steps:1. Find a common denominator for the fractions on both sides. The least common denominator (LCD) is 12.2. Multiply each term by 12 to eliminate the denominators:  12 * (x/2) + 12 * (3/4) ≤ 12 * (5x/6) - 12 * (7/12)  Simplifying:  6x + 9 ≤ 10x - 73. Rearrange the terms to isolate the variable on one side:  6x - 10x ≤ -7 - 9  Simplifying:  -4x ≤ -164. Divide both sides by -4. Since we are dividing by a negative number, the inequality sign flips:  x ≥ (-16) / (-4)  Simplifying:  x ≥ 4Therefore, the solution to the inequality (x/2) + (3/4) ≤ (5x/6) - (7/12) is x ≥ 4.