How do you graph the inequality #y - 3>2(x+1)#?

1 Answer
Meave60
Oct 20, 2015

Refer to the explanation.

Explanation:

#y-3>2(x+1)#

Solve for #y#.

Distribute the #2# on the right side.

#y-3>2x+2#

Add #3# to both sides.

#y>2x+5#

The slope is #2# and the y-intercept is #5#.

Determine two points on the line. Plot the points and draw a straight dashed line through the points to indicate that the line is not part of the inequality. Then shade in the area above the line.

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

#x=0,# #y=5#

graph{y>2x+5 [-10.48, 9.52, -1.78, 8.22]}

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