2003
Mathematics
67ca00ce0c643c71d77dee1f
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 ≤ 3THIS WEEK's
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