Question

Question 5 of 6What is the graph of the solution to the following compound inequality?7x+3 2 52or3-x>9O A.-10-9-8-7-6-5 -4 -3 -2 -101 2345 6789 10B.-10 -9 -8 -7 -6 -5 -4 -3 -2 -1012 3 45678910C.-10 -9 -8 -7 -6 -5 -4-3-2 -10123456789 10O D.-10 -9 -8 -7 -6 -5 -4 -3-2 -10123 456789 10SUBMIT

Answer 1

7x + 3 ≥ 52

or

3 - x > 9

$\begin{gathered} 7x+3\ge52 \\ -3 \\ 52-3=49 \\ 7x=49 \\ \div7 \\ 49\div7=7 \\ x\ge7 \end{gathered}$$\begin{gathered} 3-x>9 \\ -3 \\ 9-3\text{ = 6} \\ x\text{ >-6} \end{gathered}$

Given the information

x is greater then -6 so the circle will not be filled

while x is greater than or equal to 7 so the circle will be filled

The answer is the option C.