What is the system of linear inequalities?

A system of linear inequalities is a collection of linear inequalities in the same variables. The solution is any ordered pair that satisfies each of the inequalities. To graph a system of linear inequalities 1.) graph each inequality individually, decide which half-plane to shade 2.)

How do you find the system of linear inequalities?

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

What is an example of a system of linear inequalities?

y ≤ (1/2) x + 1, y ≥ 2x – 2, y ≥ -(1/2) x – 3. This system of inequalities has three equations that are all connected by an “equal to” symbol.

How do you write system of inequalities?

When writing an inequality from a graph, there are a few things we need to do:

1. Determine the equation of the line. This gives us the general form of our inequality once we remove the equal sign.
2. Note whether the line is dotted or solid. …
3. Use the graph’s shading to determine which way your inequality sign will face.

How do you write a system of inequalities from a word problem?

Steps for Solving a System of Inequalities Word Problem

1. Read the problem and highlight important information.
2. Identify the variables.
3. Find one piece of information in the problem that you can use to write an inequality.
4. Find a different piece of information that you can use to write a second inequality.