## How do you know when to shade above or below?

Unless you are graphing a vertical line the sign of the inequality will let you know which half-plane to shade. If the symbol ≥ or > is used, shade above the line. If the symbol ≤ or < is used shade below the line.

## How do you use 0 0 as a test point?

Choose a point not on the line as a test point. The point (0,0) is an easy point to test, as long as it is not on the line. The test point will lie in one of the half-planes formed by the boundary line. If the test point makes the inequality true, shade that side of the line (shading over the point).

**How do you graph inequalities and shade?**

There are three steps:

- Rearrange the equation so “y” is on the left and everything else on the right.
- Plot the “y=” line (make it a solid line for y≤ or y≥, and a dashed line for y< or y>)
- Shade above the line for a “greater than” (y> or y≥) or below the line for a “less than” (y< or y≤).

**Why is 0 0 A good choice for a test point?**

Choose any convenient test point not on the boundary line. The origin (0, 0) is a good choice because it makes for easy calculation. Substitute x 0 and y 0 into the inequality.

### What are the steps for solving inequalities?

To solve an inequality use the following steps:

- Step 1 Eliminate fractions by multiplying all terms by the least common denominator of all fractions.
- Step 2 Simplify by combining like terms on each side of the inequality.
- Step 3 Add or subtract quantities to obtain the unknown on one side and the numbers on the other.

### How do you graph less than greater than?

**How do you graph y less than 2?**

Dashed lines tell the reader that the value is not included. So draw a parallel line to x -axis from y=2 point (0,2) . (The line should be dashed). And shade the area of the coordinate plane which y values are smaller than 2 .

**Is the boundary line broken or solid?**

solid line

The boundary line for the inequality is drawn as a solid line if the points on the line itself do satisfy the inequality, as in the cases of ≤ and ≥. It is drawn as a dashed line if the points on the line do not satisfy the inequality, as in the cases of < and >.

## How do you find a solution to an inequality on a graph?

SOLVE A SYSTEM OF LINEAR INEQUALITIES BY GRAPHING.

- Graph the first inequality. Graph the boundary line.
- On the same grid, graph the second inequality. Graph the boundary line.
- The solution is the region where the shading overlaps.
- Check by choosing a test point.