-7 and 5
Explanation:[tex]|x|\text{ + 3 > 7}[/tex]
To find the points without a graph, we will substittute x with the values in each of the options.
If the expression of the left hand side and right hand side is correct, then it will be on the graph.
[tex]\begin{gathered} |x|\text{ + 3> 7} \\ \text{for x = 7} \\ |7|\text{ + 3 > 7} \\ 7\text{ + 3 > 7} \\ 10\text{ > 7 (correct)} \end{gathered}[/tex][tex]\begin{gathered} \text{for x = -5} \\ |-5|\text{ + 3 > 7} \\ 5\text{ }+\text{ 3 > 7} \\ 8\text{ > 7 (correct)} \end{gathered}[/tex][tex]\begin{gathered} \text{for x = -4} \\ |-4|\text{ + 3 > 7} \\ 4\text{ + 3 > 7} \\ 7\text{ > 7 (wrong)} \end{gathered}[/tex][tex]\begin{gathered} \text{for x = 2} \\ |2|\text{ + 3 > 7} \\ 2\text{ + 3 > 7} \\ 5\text{ > 7 (wrong)} \end{gathered}[/tex]
Using a graph:
From the graph, 7 and -5 are on the graph
-4 is on the dashed line so we can't say it is on the graph. The dashed line shows the number is not included.
