Question

Describe the graph of the following inequality: y<-3/2+4
What are the x and y intercepts of the line that separates the domains?
Is the line a solid line or a dashed line?
Are the points that satisfy this inequality above or below the line?

Answer 1

it is dashed line because it's not equal to. Well -3/2 is your slope and you start at your 4 and it is shaded below that because it is a less than sign.

Answer 2

Any idea what the x and y intercepts would be?

Answer 3

is your inequality y < -3/2x + 4 ?

Answer 4

Yes!

Answer 5

if so, to find your y intercept, in y = mx + b form, the b is your y intercept. Another way to find the y intercept is to sub in 0 for x. To find your x intercept, sub in 0 for y.
y intercept is :
y < -3/2x + 4
y < -3/2(0) + 4
y < 4 -- this is your y intercept.

x intercept is :
y = -3/2x + 4
0 = -3/2x + 4
3/2x = 4
x = 4/(3/2)
x = 4 * 2/3
x = 8/3 or if it makes it easier for you to graph, it is 2 2/3

It will be a dashed line and the points that satisfy this line will be below the line

Answer 6

So if I had 4y >(or less than) 12x-20 would it be the same thing?

Answer 7

what do you mean, " would be the same thing ?"

Answer 8

Would you use the same type formula to solve this?

Answer 9

you want to put your inequality in y = mx + b form yo find the slope. But as far as finding the x and y intercept, just sub in 0 for x or y, depending, of course, which one you are looking for.

Answer 10

4y > 12x - 20 -- divide both sides by 4
y > 3x - 5---slope is 3, y intercept is -5
x intercept is :
4(0) > 12x - 20
-12x > -20
x < 20/12 = 1 2/3

Answer 11

Any idea if this would be a solid or dashed line?

Answer 12

if there is no equal sign involved, then it is a dashed line. When an equal sign is involved, then it is a solid line.