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Solving One-Step Inequalities

Solving One-Step Inequalities 1.3 - Solution

arrow_back Return to Solving One-Step Inequalities
a
Inequalities can be solved in the same way as equations, by performing inverse operations on both sides until the variable is isolated. The only difference is that when you divide or multiply by a negative number, you must flip the inequality sign. Here, we can add on both sides, so the inequality sign remains the same.
This expression tells us that all values less than or equal to will satisfy the inequality. Note that can be equal to which we show with a closed circle on the number line.
b
To solve the inequality we'll add on both sides to isolate
This expression tells us that all values less than will satisfy the inequality. Note that cannot be equal to which we show with an open circle on the number line.