Question

98 PTS HELP!!! Please show work! ExPlAiN PlEaSe.

Solve the following system of the linear inequality equations and graph! (graph in 2D XY- plane)
Show all work!!!!!!!!

2x ≥ 4
-x+7<-6
y>-x+3

Answer 1

2x ≥ 4

x ≥ 2

-x+7<-6

-x < - 13

x > 13

Region towards right of x = 13, with x = 13 being dotted

y > -x + 3

Draw a dotted line passing through (0,3) and (3,0)

Shade the region above this line which is towards right of x = 13

Answer 2

see below

Explanation:

2x ≥ 4

Divide by 2

2x/2 ≥ 4/2

x ≥ 2

-x+7<-6

Subtract 7 from each side

-x+7-7<-6-7

-x < -13

Divide each side by -1, remembering to flip the inequality

x > 13

y>-x+3

This is a line with slope -1 and y intercept 3

This is a dotted line since there is no equals sign and graph above