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Solving Compound Inequalities

Solving Compound Inequalities 1.6 - Solution

arrow_back Return to Solving Compound 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 reverse the inequality sign. Here, we'll subtract and divide by so the inequality sign remains the same.
The solution means that any number less than or equal to will satisfy the inequality. This can be graphed with a closed point at on a number line. The solution set should be shaded to the left.
b
To solve the inequality we'll divide both sides by and then add
This expression tells us that all values greater than or equal to will satisfy the inequality. Note that can equal which we show with a closed circle on the number line.