Big Ideas Math Integrated I, 2016
BI
Big Ideas Math Integrated I, 2016 View details
3. Solving Inequalities Using Multiplication or Division
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Exercise 23 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: x ≤ - 9
Graphing Calculator:

Solution17453 Answer.svg
Practice makes perfect
Let's start by solving the inequality.
2≤ - 2/9x
- 2≥ 2/9x
- 18 ≥ 2x
- 9 ≥ x
x≤ - 9
To solve this inequality using our calculator we press Y=, then proceed with writing it in the first row.
Solution17453 1.svg

To draw the inequality, we press GRAPH.

Solution17453 4.svg

We cannot properly see the graph as the windows settings do not allow it. We have to extend it in the negative direction of the x-axis. We can do that by pressing WINDOW and then making the necessary changes. Let's change Xmax from -10 to -20.

Solution17453 5.svg

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

Solution17453 6.svg

We can see from the graph that the solution set lies to the left of -9. Therefore, our answer is correct.