Graph the inequality. Choose the correct graph below.

Question

xless than or equalsminus1  or  xgreater than3
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 \( x \leq -1 \) or \( x > 3 \), we need to identify the regions that represent these conditions on a number line.

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

   • This means all values of \( x \) that are less than or equal to -1. On a graph, you would draw a solid dot at -1 and shade to the left (into negative values).

2. For \( x > 3 \):

   • This means all values of \( x \) that are greater than 3. On a graph, you would draw an open dot at 3 and shade to the right (into positive values).

Now, combining these two conditions, the graph will consist of two distinct shaded regions: one extending left from -1 (including -1) and the other extending right from 3 (excluding 3).

Without the visual options A, B, C, and D present, I cannot indicate which choice to select, but the correct graph should depict the two regions described above: solid dot at -1 with shading to the left and an open dot at 3 with shading to the right.

If you compare this description with the visual options provided (A, B, C, D), look for a graph that reflects those two regions correctly.

If you have the options labeled or drawn, feel free to describe them or share any other details, and I can help you identify the correct answer.