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QUESTION IMAGE

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

Question

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

Explanation:

Step1: Graph the left - hand side

For \(x\geq - 2\), since the inequality is non - strict (\(\geq\)), we use a closed circle at \(x = - 2\).

Step2: Graph the right - hand side

For \(x\lt4\), since the inequality is strict (\(\lt\)), we use an open circle at \(x = 4\).

Step3: Connect the two points

Draw a line segment connecting the closed circle at \(x=-2\) and the open circle at \(x = 4\) to represent all the values of \(x\) that satisfy \(-2\leq x\lt4\).

Answer:

On the number line, place a closed circle at \(-2\) and an open circle at \(4\), then connect them with a line segment.