Question

Graph the solution set for each given inequality

Answer 1

Answer:

  see the attachments

Step-by-step explanation:

An inequality without the "or equal to" case is graphed with an open circle at its boundary point. If the "or equal to" case is included, then the dot at the boundary is filled in (a solid dot). The number line is shaded to the left or right of the boundary point, depending on whether the set being graphed includes values less than or greater than the boundary value. Usually, a line extending indefinitely will have an arrow on its end. (Not here, because the program used doesn't easily support drawing arrows.)

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a. The boundary point at x=7.75 has an open circle, and the shading of the number line extends indefinitely to the right from there.

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b. The boundary point at x=2.5 is a solid dot, and the shading extends indefinitely to the left.