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Solving One-Step Inequalities

Solving One-Step Inequalities 1.2 - Solution

arrow_back Return to Solving One-Step Inequalities
a

Inequalities can be solved similarly to equations. The only difference is that if we multiply or divide both sides by a negative number we have to flip the inequality sign. Here we can solve the inequality by subtracting 55 from both sides, so the inequality sign remains the same. 5+x>3x>-2. 5+x \gt 3 \quad \Leftrightarrow \quad x \gt \text{-}2. Thus, the solution set is x>-2,x\gt \text{-}2, meaning all xx-values greater than -2.\text{-}2.

b

The endpoint x=-2x=\text{-}2 is not included in the solutions set since the inequality has the symbol <.<. Therefore, it's marked with an open circle.

Now, the solution set is all xx-values greater than -4.\text{-}4. That means all xx-values to the right of the endpoint.