How do you graph the inequality #y

Question

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

Nathan Axel · Accepted Answer

Refer to the 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]}

Jameson Allen · Answer

undefined To graph the inequality $ y < 2x - 1 $, follow these steps:

1. Start by graphing the boundary line $ y = 2x - 1 $ as a dashed line since the inequality is strict (<).
2. Choose a test point not on the boundary line. The origin (0,0) is often a convenient test point.
3. Substitute the coordinates of the test point into the original inequality.
4. If the test point satisfies the inequality, shade the region that contains the test point. If not, shade the opposite region.
5. Since the inequality is $ y < 2x - 1 $, shade the region below the dashed boundary line.

After shading the appropriate region, the graph of the inequality $ y < 2x - 1 $ is complete.

How do you graph the inequality #y&lt; 2x - 1#?

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