Graph the inequality. Choose the correct graph below.

Question

xless than or equalsminus3  or  xgreater than4
Question content area bottom
Part 1
A.
-8
8
0
B.
-8
8
0
C.
-8
8
0
D.
-8
8
0

Answer 1

To graph the inequality \( x \leq -3 \) or \( x > 4 \):

1. For \( x \leq -3 \):

   • Draw a solid dot at -3 to indicate that -3 is included in the solution (because of the "less than or equal to").
   • Shade the line to the left of -3 to show all values less than -3.

2. For \( x > 4 \):

   • Draw an open dot at 4 to indicate that 4 is not included in the solution (because of the "greater than").
   • Shade the line to the right of 4 to show all values greater than 4.

The graph should indicate the values of \( x \) that satisfy either of the two conditions.

If you're looking at options A, B, C, and D, you would want to select the one that shows the area shaded to the left of -3 and to the right of 4, with a solid dot at -3 and an open dot at 4.

If you could provide descriptions or visual characteristics of the graphs A, B, C, and D, I could help you determine which one is correct based on the description provided.