Question

Which system of linear inequalities is graphed?

A) {x<−2
{y≤−x−2

B) {x<−3
{y<−x−2

C) {x<−2
{y≤−x+2

D) {x≤−2
{y≤−x−3

Answer 1

A) {x < −2

{y ≤ −x − 2

Explanation:

The first step is to treat these inequalities as Slope-Intercept equations, then graph them according to what you know about the rate of changes [slopes] of the lines. Then insert the inequality symbols later and figure out which line they get, based on their symbols:

Dashed Line → >, <

Solid Line → ≥, ≤

`x < -2`is the vertical line with a less than sign, so it gets the dashed line, whereas the other line has a less than or equal to sign, so this line gets the solid line.

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