Question

example 1: write each inequality in interval notation and graph them. interval notation graph (a) 1 ≤ x ≤ 5 1,5

Explanation:

Step1: Understand interval notation rules

Square - brackets [ ] are used when the endpoints are included (for $\leq$ or $\geq$). The inequality $1\leq x\leq5$ means $x$ is greater than or equal to 1 and less than or equal to 5. So in interval notation, we write it as $[1,5]$.

Step2: Graph the inequality

On a number - line, we mark the points 1 and 5. Since the endpoints are included, we use closed circles at 1 and 5 and draw a line segment between them.

Answer:

Interval Notation: $[1,5]$
Graph: A number - line with closed circles at 1 and 5 and a line segment connecting them.