Mathematics 2009 JAMB Past Questions - Question 22: If Q ≤ 9 -2> then |Q| is

Correct Answer

C

Explanation

9 + 4 - ( - 7 + -2) = 36 -14 = <22> = 22The given inequality is Q ≤ 9 - 2.Simplifying the right side of the inequality, we have:Q ≤ 7Now, to find the absolute value of Q, we consider two cases:1. If Q is positive or zero (Q ≥ 0), then |Q| = Q.2. If Q is negative (Q < 0), then |Q| = -Q.Since the inequality Q ≤ 7 does not provide any specific information about the sign of Q, we consider both cases:1. If Q ≥ 0, then |Q| = Q.2. If Q < 0, then |Q| = -Q.Therefore, the absolute value of Q can be either Q or -Q, depending on the sign of Q.The given inequality is Q ≤ 9 - 2.Simplifying the right side of the inequality, we have:Q ≤ 7Now, to find the absolute value of Q, we consider two cases:1. If Q is positive or zero (Q ≥ 0), then |Q| = Q.2. If Q is negative (Q < 0), then |Q| = -Q.Since the inequality Q ≤ 7 does not provide any specific information about the sign of Q, we consider both cases:1. If Q ≥ 0, then |Q| = Q.2. If Q < 0, then |Q| = -Q.Therefore, the absolute value of Q can be either Q or -Q, depending on the sign of Q.