## What is an example of an inequality in two variables?

This means, for example, that x=4,y=3 x = 4 , y = 3 is one possible solution to this particular inequality. However, x=0,y=0 x = 0 , y = 0 is not, because when you substitute x and y equal to 0 on the LHS of the inequality, it turns out to be less than 7.

## What is an example of a solution of an inequality?

A solution for an inequality in x is a number such that when we substitute that number for x we have a true statement. So, 4 is a solution for example 1, while 8 is not. The solution set of an inequality is the set of all solutions.

**How do you solve a system of inequalities with two variables?**

- 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.

**How many solutions does an inequality in two variables have?**

infinitely many

Linear inequalities with two variables have infinitely many ordered pair solutions, which can be graphed by shading in the appropriate half of a rectangular coordinate plane.

### What is Solution inequality?

A “solution” of an inequality is a number which when substituted for the variable makes the inequality a true statement. Here is an example: Consider the inequality. When we substitute 8 for x, the inequality becomes 8-2 > 5. Thus, x=8 is a solution of the inequality.

### What is variable inequality?

The graph of an inequality in two variables is the set of points that represents all solutions to the inequality. A linear inequality divides the coordinate plane into two halves by a boundary line where one half represents the solutions of the inequality.

**How do you determine the solution set of a system of linear inequalities in two variables from its graphs?**

To graph solutions to systems of inequalities, graph the solution sets of each inequality on the same set of axes and determine where they intersect. You can check your answer by choosing a few values inside and out of the shaded region to see if they satisfy the inequalities or not.