Question

Solve each system of inequality by graphing
17)y>-x+5 y<3x-4
Can someone help me on this i just don't understand it that well

Answer 1

I will assume there is a comma between them in this way:

y>-x+5 , y<3x-4
First one:
y > -x + 5 make a sketch of y = -x + 5 and shade in the region above but excluding the line
We do that by drawing the line as a dotted line

Second one:
y < 3x - 4
again sketch y = 3x - 4, and shade in the region below but excluding the line itself.

your solution is the region shaded by both regions, but excluding the boundary lines

btw, the two boundary lines intersect at
3x-4 = -x+ 5
4x = 9
x = 9/4 , y = -9/4+5 = 7/4 , that is, at (9/4, 7/4)

Answer 2

Um yes i forgot about the commas anyways thank you so much now i understand a little bit better thank you :)