Question

I am really confused...can someone help me with this? I am supposed to graph solution of given system of linear inequality:

y is greater than 4x-3
y is less than or equal to x+2

Answer 1

Consider the "equation" of the corresponding function, I will use yours as an example

y = 4x-3
Since it is a straight line, all you need are two points

since you had
y > 4x - 3, draw a dotted line to show that the points are excluded.
Shade in the region <b>above</b> that line
If the relation had been
y < 4x-3 , you would shade in the region <b>below</b> the line

If the relation had been ≥ or ≤ , you would make the boundary line solid, to show the points on the line would be included.

my explanation applies to all inequations of the form
y > f(x), y < f(x), y ≥ f(x), or y ≤ f(x)