Question

The graph shows the linear inequality y < x + 2.

Explain everything the line tells us. Why is it dashed?

Answer 1

The reason why line is dashed because the inequality is indicating '<'.

Here, graphing a dashed line, then shading the area below the boundary line since y is less than x+2.

Explanation:

Important things to observe when we graph the inequality.

• Any inequality involving < or > will have a graph as a dotted line, while
• Any inequality involving ≤ or ≥ will have a graph as a solid line.

Given the inequality

`y\:<\:x\:+\:2`

The reason why line is dashed because the inequality is indicating '<'.

Here, graphing a dashed line, then shading the area below the boundary line since y is less than x+2.

The graph is attached below.