If $x$ is an integer, find the greatest value of $x$ which satisfies $5 - 3x \geq x - 11$.
A3
B4CORRECT
C5
D2
AI
Toaster Teacher
Why the answer is B, and why the others tempt you.
Solving 5 - 3x ≥ x - 11: add 3x to both sides to get 5 ≥ 4x - 11, then add 11 to get 16 ≥ 4x, so x ≤ 4. Since x is an integer, the greatest value is 4. Choosing 3 is a common error from mishandling the inequality sign.
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