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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: n>- 16
Graphing Calculator:
Put minus sign in front of fraction
Multiply by (- 1) and flip inequality sign
LHS* 4 < RHS * 4
Rearrange inequality
To draw the inequality we press GRAPH.
We cannot see where the graph starts, 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 Xmin
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 -16. Therefore, our answer is correct.