# How do you graph inequalities with two inequalities?

## How do you graph inequalities with two inequalities?

To graph a linear inequality in two variables (say, x and y ), first get y alone on one side. Then consider the related equation obtained by changing the inequality sign to an equality sign. The graph of this equation is a line. If the inequality is strict ( < or > ), graph a dashed line.

**How do you graph linear inequalities in two variables step by step?**

- Step 1: Solve the inequality for y.
- Step 2: Graph the boundary line for the inequality.
- Step 3: Shade the region that satisfies the inequality.
- Step 4: Solve the second inequality for y.
- Step 5: Graph the boundary line for the second inequality.
- Step 6: Shade the region that satisfies the second inequality.

### What are the steps in graphing linear inequality in two variables?

**How do you graph an absolute value inequality and shade?**

Use a dotted or solid line, depending on the inequality sign, to connect the points. After graphing using a table of values, shade in the appropriate region. If y is greater than the absolute value quantity, then shade above the graph. If y is less than the absolute value quantity, then shade below the graph.

#### What is the last step of graphing the linear inequalities in two variables?

Step 4: The last step is to shade one side or region of the boundary line. Shade the top side of the boundary line if you have the inequality symbols > or ≥. Shade the bottom side of the boundary line if you have the inequality symbols < or ≤.

**How do you graph an inequality on a graph?**

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≤).

## What is the best first step in graphing an inequality in two variables?

A linear inequality occurs when the equal sign in a linear equation is replaced with an inequality symbol. To graph a linear inequality in two variables, first graph the line as if it were a linear equation. Identify whether the inequality includes the “or equal to” aspect.

**What are the 3 steps in graphing linear inequalities in two variables?**

Steps on How to Graph Linear Inequalities

- Step 1: Always start by isolating the variable \color{red}y on the left side of the inequality.
- Step 2: Change the inequality to equality symbol.
- Step 3: Graph the boundary line from step 2 in the XY-plane.

### How do you graph an absolute value parent function?

An absolute value graph has one axis of symmetry that passes through the vertex. The absolute value function is defined by f (x) = |x|. This is the absolute value parent function. The graph of y = a|x| is graph of y = |x| vertically stretched or compressed depending on the |a|.