# How do you graph y <2x - 1?

Aug 21, 2016

We should first find out the values for which $y = 2 x - 1$

#### Explanation:

The values for which $y = 2 x - 1$ lie in a straight line, as follows:

graph{2x-1 [-10, 10, -5, 5]}

For the points on the line, the y-coordinate is exactly $2 x - 1$; for example, the points $\left(1 , 1\right)$, and the points $\left(2 , 3\right)$ are on the line. (See the graph).

Hence, any point above the line will satisfy $y > 2 x - 1$, and any point $y < 2 x - 1$ will be below the line.

The solution is the set of points on the graph below the line $y = 2 x - 1$