Question content area top

Question

Part 1
Graph the inequality. Choose the correct graph below.
xless than or equalsminus7  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 \( x \leq -7 \) or \( x > 4 \), we need to represent the two parts of the inequality on a number line.

1. For \( x \leq -7 \):

   • This means that the values of \( x \) are all numbers less than or equal to \(-7\). We will use a solid dot (or filled circle) at \(-7\) to indicate that \(-7\) is included in the solution, and draw an arrow to the left to represent all numbers less than \(-7\).

2. For \( x > 4 \):

   • This means that the values of \( x \) are all numbers greater than \( 4\). We will use an open dot (or unfilled circle) at \( 4\) to indicate that \( 4\) is not included in the solution, and draw an arrow to the right to represent all numbers greater than \( 4\).

Now, you can identify which graph (A, B, C, or D) correctly represents these two inequalities.

• Look for a graph with:
  • A solid dot (or filled circle) at \(-7\) with a line extending to the left.
  • An open dot (or unfilled circle) at \( 4\) with a line extending to the right.

Please check each option provided to see which one matches this description!