need help solving inequality?

Question

y>3/2x-2 .................I have no idea where to start

forgot one important detail......how do i graph it

Answer 1

Hopefully this is
y > (3/2) x - 2 and not as written.
Consider y = (3/2) x - 2
This is a straight line.
Points on line are (0 - 2) , (4 , 4) , (12 , 16)
Draw a DOTTED line thro` these points.
Required region is then a shaded area that lies ABOVE this line

Check that
(0,0) satisfies y > (3/2) x - 2
0 > 0 - 2 is correct

Answer 2

it's just like an equals sign...except different. You need at least as many equations as you have variables to solve for a value, so in this case I assume you're solving for x?
y > 3/2x - 2
y+2 > 3/2x
2(y + 2)/3 > x
(2y + 4)/3 > x

To graph it, you draw the line y = 3/2x - 2 and shade everything above it. That way, for each value of x, y is greater than it.

Answer 3

basically
you graph the line y=3/2x - 2
and since your original sign is >
your answer is everything greater than that line

Note-if you are unsure where to shade at, plug (0,0) into the equation. if the equation holds true, then shade that side of the line.
if plugging in (0,0) results in an impossibility, then shade the other side

**another note**
since this is ONLY greater than, and not greater than or equal to, the line you drew must be a dashed line.
drawing a solid line means it was "greater than or equal to"