How to solve inequalities with fractions in algebra
Education • Math
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.
