# How To: Solve inequalities with fractions in algebra

Solving math inequalities with fractions is easy when applying the rules presented in this video.

• When you add or subtract the same number from each side of an inequality, the relationship between the two sides does not change.

• When you multiply or divide each side of an inequality by a positive number, the relationship between the left side and the right side does not change.

• When you multiply or divide each side of an inequality by a negative number, the relationship between the left side and the right side reverses.

The above rules can be summarized in the following six formulas:

If m < n, then m+p < n+p

If m < n, then m-p < n-p

If m < n and p > 0, then mp < np

If m < n and p < 0, then mp > np

If m < n and p > 0, then m / p < n / p

If m < n and p < 0, then m / p > n / p

Watch the following videos to learn how to apply the above rules.

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