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Solve the inequality w > Y+H/P for H.

a. W/P - Y>H
b. WP/Y > H
c. WP - Y > H
d. W + P - Y > H

User Eithos
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8.4k points

1 Answer

3 votes

The answer of the inequality is WP - Y > H. Hence the correct option is c.

Isolate H: Our goal is to solve the inequality for H. We start by adding Y to both sides:

w > Y + H/P + Y

Combining Y terms:

w > 2Y + H/P

Multiply both sides by P: To eliminate the fraction and simplify the inequality, we multiply both sides by P:

Pw > 2PY + H

Rewrite for clarity: Rearranging terms for better organization:

WP - 2PY > H

Final form: Since 2PY represents a multiple of Y, we can simply combine it with Y:

WP - Y > H

Therefore, option c. WP - Y > H is the correct solution after isolating H, eliminating the fraction, and simplifying the inequality. Hence the correct option is c.

User Francisco Carmona
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8.3k points