3. Solving Inequalities Using Multiplication or Division
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Inequalities can be solved in a way similar to how we solve equations — by performing inverse operations until the variable is isolated.
Solution: y>12
Graphing Calculator:
.LHS /3.<.RHS /3.
Rearrange inequality
To draw the inequality we press GRAPH.
We cannot see the graph, as the windows settings do not allow it. We have to extend it in the positive direction of the x-axis. We can do that by pressing WINDOW and then make the necessary changes. Let's change Xmax
from 10 to 20.
By pressing GRAPH again, we draw the inequality using the new window settings.
We can see from the graph that the solution set lies to the right of 12. Therefore, our answer is correct.