Question

Solve for x, x/25 > 5

Answer 1

Answer:

  x > 125

Step-by-step explanation:

Multiply both sides of the inequality by 25:

  25(x/25) > 25(5)

  x > 125

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Comment on solving inequalities

In general, you solve these the same way you would an equation. The difference comes when you use an operation that changes ordering. Multiplying or dividing by a negative number does that, for instance.

Consider ...

  2 > 1.

Multiply both sides by -1, and it is true only if you reverse the comparison:

  -2 < -1

(There are other operations that change ordering, but this is the one you will likely run across most often.)