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write down the solution set of x<5

write down the solution set of x<5 and show the solution set on the graph by shading the unwanted region

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Alexander F. | Patient and Passionate University of South Florida Math/Science TutorPatient and Passionate University of Sou...
We are dealing with an inequality, so the solution set is a range of numbers. If you think about x=5, this will be a vertical line that passes through 5 on the x-axis. Since the inequality is x<5, we will have a dotted vertical line (to represent the less than sign). And since we want to shade in the unwanted region, we would shade in the right side of the dotted line, since all of these x-values are greater than 5.

The solution set for this problem can be written as (-infinity, 5).