Question

graph the following inequality in the number line below.
-2 ≤ x < 4

Explanation:

Step1: Analyze the inequality

The inequality \(-2\leq x < 4\) means \(x\) is greater than or equal to \(-2\) and less than \(4\).

Step2: Mark the points on the number - line

• For \(x\geq - 2\), we use a closed circle at \(x = - 2\) (because the inequality includes equality).
• For \(x<4\), we use an open circle at \(x = 4\) (because the inequality does not include equality).

Step3: Shade the region

Shade the region between \(x=-2\) (closed circle) and \(x = 4\) (open circle) on the number - line.

Answer:

On the number - line, place a closed circle at \(-2\), an open circle at \(4\), and shade the region between them.