PLZ HELP ME

The graph shows the solution to which system of inequalities?

A) y < -2x + 4 and y < 2x + 4

B) y < -2x + 4 and y ≤ 2x + 4

C) y > -2x + 4 and y ≤ 2x + 4

D) y ≤ -2x + 4 and y ≤ 2x + 4

  see below

Step-by-step explanation:

The shading is below the line in both cases. The dashed line has negative slope, so the inequality associated with it is ...

  y < -2x +4 . . . . . . note that the < symbol has no "or equal to"

The solid line has positive slope, so its inequality is ...

  y ≤ 2x +4

Both these inequalities are found in choice B.

let soccer = x and golf = y

part a

1st equation: x + y = 125

2nd equation: x = y +45

part b

replace x in the 1st equation with the 2nd one:

y + 45 + y = 125

simplify:

2y + 45 = 125

subtract 45 from each side:

2y = 80

divide both sides by 2:

y = 80/2

y = 40

she plays golf for 40 minutes.

part c

no because she plays soccer for 45 minutes longer than golf 40 +45 =   85 minutes, not 80 minutes.