Question

graph the solution to the following system of inequalities y<-2x+5 y>(or equal to) 2x+3

Answer 1

let's tackle these graphs one at a time

Answer 2

to graph y < -2x + 5, you follow these steps

step 1) graph the line y = -2x + 5

step 2) make this line a dashed line

step 3) shade below the dashed line

Answer 3

the line is dashed because we are NOT including the boundary line (because we don't have an "or equal to" as part of the inequality sign)

Answer 4

you shade below the line because it's a "less than" and y is fully isolated

Answer 5

ok i have got that part done

Answer 6

you repeat for the second graph as well

Answer 7

however, this time the boundary line will be solid and you will shade above the line

Answer 8

the final solution set will be where the two shaded regions overlap

Answer 9

when you say above the line do you mean / to the left of the line

Answer 10

by above the line, i mean that if the line isn't completely vertical, you can shade points that lie above it

ie start on any point on the line and go straight up (and shade everywhere that's above the line)

Answer 11

ex: here is a line

Answer 12

pick any point on it

Answer 13

then go straight up