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How do you graph the inequality #y<-2x+5#?

Answer 1

The graph will be a dashed straight line, with shading below the line.

#y<-2x+5#

Determine 2 points by substituting values for #x# and solve for #y#.

#x=-2,# #y=9# #x=0,# #y=5#

Plot the points and draw a dashed straight line through the points to indicate that the points are not on the line. Then shade the area below the line.

graph{y<-2x+5 [-12.92, 7.08, -0.58, 9.42]}

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Answer 2

Hazel Anglin

To graph the inequality ( y < -2x + 5 ), follow these steps:

Start by graphing the boundary line ( y = -2x + 5 ) as a dashed line since the inequality is strict (( < )).
Choose a test point not on the boundary line. A common choice is the origin (0,0).
Substitute the coordinates of the test point into the original inequality ( y < -2x + 5 ) and check if it is true.
If the test point satisfies the inequality, shade the region where the test point lies. If it doesn't satisfy the inequality, shade the opposite region.

Following these steps will help you graph the inequality ( y < -2x + 5 ) accurately.

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Answer from HIX Tutor

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

How do you graph the inequality #y&lt;-2x+5#?

How do you graph the inequality #y<-2x+5#?