3. Solving Inequalities Using Multiplication or Division
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Solve the inequality.
B
To determine the graph that matches the inequality, we first need to solve the inequality. We can do this by applying inverse operations to isolate the variable x on one side of the inequality.
Put minus sign in denominator
Multiply by -3 and flip inequality sign
Our solution of x>3 means that all possible values of x that are greater than 3 will satisfy the inequality. Notice that x cannot equal 3, so an open circle is shown here on the number line.
As can be seen, this number line corresponds with option B.