Question

I need help understanding how to do this type of problem

Answer 1

Explanation

Let's check out tha graph

we can see the the higher limit is 10, as the circle is empty, it measn the limit is not part of the set, so , the set in the graph is

$\begin{gathered} (-\infty,10) \\ or \\ c<10 \end{gathered}$

Step 2

now, we need to check the inequalities, and verify that has this solution, so

solve the inequalities

$\begin{gathered} a)c+7\leq3 \\ to\text{ solve subtract 7 in both sides} \\ c\leq-4 \\ b)c-3>1 \\ \text{add 3 in both sides} \\ c-3+3>1+3 \\ c>4 \\ c)c-7<3 \\ \text{add 7 in both sides} \\ c-7+7<3+7 \\ c<10 \end{gathered}$

Hence, the answer is C)

I hope this helps you

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