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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: x ≤ - 9
Graphing Calculator:
Multiply by (- 1) and flip inequality sign
LHS* 9 ≥ RHS * 9
.LHS /2.≥.RHS /2.
Rearrange inequality
To draw the inequality, we press GRAPH.
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.
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 left of -9. Therefore, our answer is correct.