12 To solve this inequality using a calculator, we begin by pressing Y=. Then we write the inequality'>
Big Ideas Math Integrated I, 2016
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Big Ideas Math Integrated I, 2016 View details
3. Solving Inequalities Using Multiplication or Division
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Exercise 21 Page 71

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:

Solution17451 Answer.svg
Practice makes perfect
Let's start by solving the inequality.
36<3y
12
y>12
To solve this inequality using a calculator, we begin by pressing Y=. Then we write the inequality in the first row. Notice that we will use x as our variable, as this is the only variable we are allowed to write using the calculator.
Solution17451 1.svg

To draw the inequality we press GRAPH.

Solution17451 4.svg

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.

Solution17451 5.svg

By pressing GRAPH again, we draw the inequality using the new window settings.

Solution17451 6.svg

We can see from the graph that the solution set lies to the right of 12. Therefore, our answer is correct.