passpadi

2003

Mathematics

JAMB

Find the range of the value of x satisfying the inequalities 5 + x ≤ 8 and 13 + x ≥ 7

A.

-3 ≤ x ≤ 3

B.

3 ≤ x ≤ 6

C.

-6 ≤ x ≤ 3

D.

-6 ≤ x ≤ -3

Correct Answer: -6 ≤ x ≤ 3

Explanation

5 + x ≤ 8 and 13 + x ≥ 7 5 + x ≤ 8 X ≤ 8 – 5 X ≤ 3 And 13 + x ≥ 7 X ≥ 7 – 15 X ≥ -7 Combining the two together -6 ≤ x ≤ 3

5 + x ≤ 8 and 13 + x ≥ 7 5 + x ≤ 8 X ≤ 8 – 5 X ≤ 3 And 13 + x ≥ 7 X ≥ 7 – 15 X ≥ -7 Combining the two together -6 ≤ x ≤ 3
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