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