MATHEMATICS

JAMB 2003 - Question 13

Mathematics 2003 JAMB Past Questions - Question 13: Find the range of the values of x satisfying the inequalities 5+x ≤ 8 and 13+x  ≥ 7.

Find the range of the values of x satisfying the inequalities 5+x ≤ 8 and 13+x  ≥ 7.
A:
B:
C:
D:
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Correct Answer

C

Explanation

To find the range of values of x that satisfy the inequalities 5 + x ≤ 8 and 13 + x ≥ 7, we can solve each inequality separately and then find the overlapping range.1. Solving the first inequality, 5 + x ≤ 8:  Subtracting 5 from both sides, we have:  x ≤ 8 - 5  x ≤ 32. Solving the second inequality, 13 + x ≥ 7:  Subtracting 13 from both sides, we have:  x ≥ 7 - 13  x ≥ -6Now, let's find the overlapping range by considering both inequalities together:The range of values of x that satisfy both inequalities is the intersection of the ranges x ≤ 3 and x ≥ -6. This means that x must be greater than or equal to -6 and less than or equal to 3.Therefore, the range of values of x that satisfy the given inequalities is -6 ≤ x ≤ 3.