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Given a > 0 and b > 0, which inequality shows the result of solving -ax/b > (or equal to) c - d for x?

User Csath
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1 Answer

4 votes

Answer:

x ≤ b(d-c)/a

Explanation:

Given the inequality expression

-ax/b≥c-d, we are to solve for x

Cross multiply

-ax≥b(c-d)

Divide both sides by -a (note that dividing both sides if an inequality changes the sense of an inequality sign)

-ax/-a≤b(c-d)/-a

x ≤ -b(c-d)/a

x ≤ (-bc+bd)/a

x ≤ (bd-bc)/a

x ≤ b(d-c)/a

Hence the inequality that shows the expression for x is x ≤ b(d-c)/a

User Lhan
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