What is the solution to the inequality shown below?

A
p < 9.2

B
p > 9.2

C
p < 19.6

D
p > 19.6

To solve the inequality, you need to isolate/get the variable "p" by itself in the inequality:

5p + 26 < 72           Subtract 26 on both sides

5p + 26 - 26 < 72 - 26

5p < 46      Divide 5 on both sides to get "p" by itself

p < 9.2       Your answer is A

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.