Sovi.AI - AI Math Tutor

Scan to solve math questions

QUESTION IMAGE

graph the compound inequality. 2 ≤ x < 4 plot the endpoints. select an …

Question

graph the compound inequality.
2 ≤ x < 4
plot the endpoints. select an endpoint to change it from closed to open. select the middle of a segment, ray, or line to delete it.

Explanation:

Step1: Identify the left - hand endpoint

The left - hand side of the inequality is $2\leq x$, so $x$ can equal 2. We use a closed circle at $x = 2$ on the number line.

Step2: Identify the right - hand endpoint

The right - hand side of the inequality is $x<4$, so $x$ cannot equal 4. We use an open circle at $x = 4$ on the number line.

Step3: Draw the segment

Draw a line segment connecting the closed circle at 2 and the open circle at 4 to represent all the values of $x$ that satisfy the compound inequality.

Answer:

On the number line, place a closed circle at 2 and an open circle at 4, and draw a line segment between them.