Question

Which is the graph of x ≤ 2? Graph of a dashed vertical line 2 units to the right of the origin with everything shaded to the right. Graph of a solid vertical line 2 units to the right of the origin with everything shaded to the right. Graph of a dashed vertical line 2 units to the right of the origin with everything shaded to the left. Graph of a solid vertical line 2 units to the right of the origin with everything shaded to the left.

Answer 1

Graph of a solid vertical line 2 units to the right of the origin with everything shaded to the left.

Explanation:

The solid line shows it is greater than or equal to. Shade to left of vertical line if less than and right of it if greater than.

Answer 2

A graph of a solid vertical line 2 units to the right of the origin with everything shaded to the right.

Explanation:

The inequality x≤ 2 means that for any coordinate picked to the left of the line x=2 including 2 satisfies the argument for x. The less than or equal to sign means the value of x is 2 or less.

If for example you pick (2,5) or even (-1,150), the x coordinate satisfies the inequality.