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

Mar 30, 2018

Refer to the explanation.

#### Explanation:

Graph:

$y < 2 x - 1$

Find the x- and y-intercepts.

X-intercept: value of $x$ when $y = 0$

Substitute an equal sign for the less than symbol.

$y = 2 x - 1$

Substitute $0$ for $y$.

$0 = 2 x - 1$

Add $1$ to both sides.

$1 = 2 x$

Divide both sides by $2$.

$\frac{1}{2} = x$

The x-intercept is $\left(\frac{1}{2} , 0\right)$.

Y-intercept: value of $y$ when $x = 0$

Substitute $0$ for $x$.

$y = 2 \left(0\right) - 1$

$y = - 1$

The y-intercept is $\left(0 , - 1\right)$

Plot the points. Draw a dashed line through the points. This indicates that the line is not a part of the inequality. Since $y < 2 x - 1$, shade in the area below the line.

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