# How do you graph x ≥ -1, y ≥ -2, and 2x + y ≤ 6?

##### 1 Answer

Aug 3, 2015

Plot each graph separately and then shade the area that satisfies all three inequalities.

#### Explanation:

Your equations are

**Step 1.** Plot

Use a solid line because your condition is not a strict inequality.

**Step 2.** Plot

Again, use a solid line.

**Step 3.** Plot

Rearrange the equation to

**Step 4.** Shade the area that satisfies all three conditions.

**Check:** Test a point in the coloured region.

Try (

∴ TRUE

∴ TRUE

∴ TRUE

The point (