The solution set of $2x + 3 \leq 7$ and $x - 1 > -3$ is
A$-2 < x \leq 2$CORRECT
B$x \leq 2$
C$x > -2$
D$-2 < x < 2$
GCEMathematicsVariation and Inequalities2022
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Why the answer is A, and why the others tempt you.
From 2x + 3 ≤ 7: x ≤ 2. From x - 1 > -3: x > -2. The intersection of x > -2 and x ≤ 2 is -2 < x ≤ 2. Option D incorrectly excludes x = 2, which satisfies the first inequality.
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