Given the inequalities $−3 < P ≤ −2$ , $−2 < Q ≤ −1$ , $0 < R ≤ 2$ , and $2 < S ≤ 3$ , what is the highest possible value of P + Q + R + S?

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-3

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Explanation

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Official Explanation

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From the inequalities, we have:

−3 < P ≤ −2

implies the maximum value of P is −2. For Q,

−2 < Q ≤ −1

gives a maximum of −1. For R,

0 < R ≤ 2

allows a maximum of 2.

Lastly,

2 < S ≤ 3

means S can be at most 3.…

Comments

DukeFeb 24, 2025

thanks a lot

MiaFeb 15, 2025

thanks!

LaraApr 4, 2024

Great!

What this question tests

Your fluency with the order of operations, fractions, decimals, and basic number sense — the foundation every quant question leans on.

Applying the order of operations out of sequence or rounding intermediate values before the final step.