Which of the following represents the equivalent form of the inequalities $y > -4x$ and $-z > 3x$ ?

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-2y < 8x < -4z

Correct

2y < -8x < -4z

-4x < y < -z

4x < z < -2y

-4z < 12x < y

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Official Explanation

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The inequality y > -4x can be rewritten as -y < 4x. If we multiply both sides by 2, we get -2y < 8x. For the second inequality -z >…

Comments

VJun 24, 2024

good question

SnehamSep 17, 2024

Can you explain more?

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.