Write the inequalities represented by the number line diagrams below. Be sure to use "or" when necessary.

Question

ScanSolve AI Tutor · Accepted Answer

Here are the inequalities represented by the diagrams:

A)

Identify the two separate intervals.
The first interval has an open circle at 11 and an arrow pointing left, meaning $x < 11$ . The second interval has a closed circle at 19 and an arrow pointing right, meaning $x \ge 19$ .
Combine the intervals with "or" since they are separate.
$\boxed{x < 11 \text{ or } x \ge 19}$
B)
Identify the endpoints and their types.
There is a closed circle at $-2$ and an open circle at 6. The line segment connects these two points.
Write the inequality for $x$ being between these two points, including $-2$ and excluding 6.
$\boxed{-2 \le x < 6}$
C)
Identify the endpoints and their types.
There is an open circle at 0 and a closed circle at 16. The line segment connects these two points.
Write the inequality for $x$ being between these two points, excluding 0 and including 16.
$\boxed{0 < x \le 16}$
D)
Identify the two separate intervals.
The first interval has an open circle at 5 and an arrow pointing left, meaning $x < 5$ . The second interval has an open circle at 17 and an arrow pointing right, meaning $x > 17$ .
Combine the intervals with "or" since they are separate.
$\boxed{x < 5 \text{ or } x > 17}$
E)
Identify the endpoints and their types.
There is a closed circle at $-2$ and a closed circle at 4. The line segment connects these two points.
Write the inequality for $x$ being between these two points, including both $-2$ and 4.
$\boxed{-2 \le x \le 4}$

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