2010
Mathematics
JAMB
Solve the inequalities -6 ≤ 4 - 2x < 5 - x
A.
-1 < x < 5
B.
-1 < x ≤ 5
C.
-1 ≤ x ≤ 6
D.
-1 ≤ x < 6
Correct Answer: -1 < x ≤ 5
Explanation
-6 ≤ 4 - 2x < 5 - x split inequalities into two and solve each part as follows: -6 ≤ 4 - 2x = -6 - 4 ≤ -2x -10 ≤ -2x −10/−2 ≥ −2x/−2 giving 5 ≥ x or x ≤ 5 4 - 2x < 5 - x -2x + x < 5 - 4 -x < 1 −x/−1 > 1/−1 giving x > -1 or -1 < x Combining the two results, gives -1 < x ≤ 5
-6 ≤ 4 - 2x < 5 - x split inequalities into two and solve each part as follows: -6 ≤ 4 - 2x = -6 - 4 ≤ -2x -10 ≤ -2x −10/−2 ≥ −2x/−2 giving 5 ≥ x or x ≤ 5 4 - 2x < 5 - x -2x + x < 5 - 4 -x < 1 −x/−1 > 1/−1 giving x > -1 or -1 < x Combining the two results, gives -1 < x ≤ 5THIS WEEK's
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