Graph the inequality on a number line.

Question

4 less than or equals x less than 6
Question content area bottom
Part 1
Choose the graph of the inequality.
A.
An infinite number line, labeled from negative 6 to 6 with tick marks in increments of 1. There is one shaded region starting at 4 with a closed circle and stopping at 6 with an open circle.
-6
-5
-4
-3
-2
-1
0
1
2
3
4
5
6
B.
An infinite number line, labeled from negative 6 to 6 with tick marks in increments of 1. There are two shaded regions: the first region starts at 4 with a closed circle and points to the left and the second region starts at 6 with an open circle and points to the right.
-6
-5
-4
-3
-2
-1
0
1
2
3
4
5
6
C.
An infinite number line, labeled from negative 6 to 6 with tick marks in increments of 1. There is one shaded region starting at 4 with an open circle and stopping at 6 with a closed circle.
-6
-5
-4
-3
-2
-1
0
1
2
3
4
5
6
D.
An infinite number line, labeled from negative 6 to 6 with tick marks in increments of 1. There are two shaded regions: the first region starts at 4 with an open circle and points to the left and the second region starts at 6 with a closed circle and points to the right.
-6
-5
-4
-3
-2
-1
0
1
2
3
4
5
6

Answer 1

The given inequality is \( 4 \leq x < 6 \). This means:

• \( x \) can be equal to 4 (indicating a closed circle at 4) and goes up to, but does not include, 6 (indicating an open circle at 6).

Thus, we are looking for a graph that includes a closed circle at 4 (indicating that 4 is part of the solution) and an open circle at 6 (indicating that 6 is not part of the solution). The region between these two points should be shaded.

Based on the provided options, the correct graph representation of the inequality \( 4 \leq x < 6 \) is:

A. An infinite number line, labeled from negative 6 to 6 with tick marks in increments of 1. There is one shaded region starting at 4 with a closed circle and stopping at 6 with an open circle.

Final answer: A.