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

1 Answer
Meave60
Mar 30, 2018

Refer to the explanation.

Explanation:

Graph:

#y<2x-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=2x-1#

Substitute #0# for #y#.

#0=2x-1#

Add #1# to both sides.

#1=2x#

Divide both sides by #2#.

#1/2=x#

The x-intercept is #(1/2,0)#.

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

Substitute #0# for #x#.

#y=2(0)-1#

#y=-1#

The y-intercept is #(0,-1)#

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

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

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