Problem 1
Answer: B) -15
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Explanation:
Draw out a number line with -7 on it. Stuff to the left of this value are smaller than -7. Stuff to the left would be -8, -9, ... and -15 is part of that list.
So -15 is smaller than -7.
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Problem 2
Answer: Choice A) closed circle at 2 and shading to the right
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Explanation:
Let's solve for h
[tex]-5h+3 \le -7\\\\-5h \le -7-3\\\\-5h \le -10\\\\h \ge \frac{-10}{-5}\\\\h \ge 2\\\\[/tex]
The inequality sign flips because we divided both sides by a negative value.
The solution set is the set of h values such that h = 2 or h > 2. In short, h can be 2 or larger.
Visually this will be a graph with a closed circle at 2 and shading to the right. The closed circle tells the reader "include the endpoint". This describes graph A.
