Question

y≤– 2 Plot points on the boundary line. Select the line to switch between solid and dotted. Select a region to shade it.

Answer 1

The inequality
`\( y \leq -2 \)` represents a solid horizontal line at
`\( y = -2 \)` on the graph, with the shaded region below it, encompassing points where
`\( y \)` is less than or equal to
`\(-2\)`.

The inequality
`\( y \leq -2 \)` defines a boundary at
`\( y = -2 \)` and includes all points below this line on the graph. It represents a horizontal line running infinitely across the coordinate plane at the
`\( y \)-` value of
`\(-2\),` inclusive of that line.

The solid line indicates that points on the line are included in the solution set, while the shaded area below the line represents all possible values of
`\( y \)` that are less than or equal to
`\(-2\).`

Any coordinate with a
`\( y \)-` value below
`\(-2\)` when plotted on the graph, including the line itself, satisfies the inequality. This graphical representation shows the range of values for
`\( y \)` that fulfill the
`\( y \leq -2 \),` encompassing all points on or below the indicated line.

the completed question:

Graph the inequality y ≤ –2