Given that $(x + 3)^2 ≤ 3 − y$ , what is the highest attainable value for $y$ ?

Correct answer marked below

-5

-3

-1

Correct

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Explanation

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Official Explanation

Official

To find the maximum value of

y

, we start with the inequality

(x + 3)^2 ≤ 3 − y

. The left side,

(x + 3)^2

, is always non-negative, meaning it can take values from 0 to some positive number. The smallest…

Comments

PriyadarshiniFeb 26, 2025

thanks for posting

DevanganaMar 8, 2025

Great explanation

NaimishApr 27, 2025

thanks!

What this question tests

Your ability to solve and combine linear inequalities and reason about ranges of values.

Failing to flip the inequality sign when multiplying or dividing by a negative, or missing an inclusive/exclusive endpoint.