##### Asked by: Catherina Bronner

asked in category: General Last Updated: 22nd February, 2020# What is the graph of the inequality?

**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**. The boundary line is dashed for > and < and solid for ≤ and ≥.

Also asked, how do you find the linear inequality of a graph?

Plug your slope and a point into the **formula** y = mx + B, in which "m" is the slope, (x, y) is a point on the line and "b" is the y-intercept, to **find** the **equation** governing the **inequality** line. Plugging in (0, 0), you obtain 0 = 0 + b, so b = 0. Rewriting the **equation**, you obtain y = x/2.

what is the solution to inequality? A "**solution**'' of an **inequality** is a number which when substituted for the variable makes the **inequality** a true statement. When we substitute 8 for x, the **inequality** becomes 8-2 > 5. Thus, x=8 is a **solution** of the **inequality**.

Also to know, how do you find the inequality?

**Summary**

- Many simple inequalities can be solved by adding, subtracting, multiplying or dividing both sides until you are left with the variable on its own.
- But these things will change direction of the inequality:
- Don't multiply or divide by a variable (unless you know it is always positive or always negative)

How do you solve system of equations?

**Follow the steps to solve the problem.**

- Step 1: Multiply the entire first equation by 2.
- Step 2: Rewrite the system of equations, replacing the first equation with the new equation.
- Step 3: Add the equations.
- Step 4: Solve for x.
- Step 5: Find the y-value by substituting in 3 for x in either equation.