SOLUTION: if y = 2x +3 and x < 2 which of the following represents all the possible values for y ? a) y < 7 b) y > 7 c) y < 5 d) y > 5 e) 5 < y < 7

Algebra ->  Inequalities -> SOLUTION: if y = 2x +3 and x < 2 which of the following represents all the possible values for y ? a) y < 7 b) y > 7 c) y < 5 d) y > 5 e) 5 < y < 7       Log On


   

Question 250506: if y = 2x +3 and x < 2 which of the following represents all the possible values for y ?
a) y < 7 b) y > 7 c) y < 5 d) y > 5 e) 5 < y < 7
Answer by Edwin McCravy(20055) About Me  (Show Source):
You can put this solution on YOUR website!
if y = 2x + 3 and x < 2 which of the following represents all the possible values for y ?
a) y < 7 b) y > 7 c) y < 5 d) y > 5 e) 5 < y < 7

Solve y=2x%2B3 for x

y=2x%2B3

Swap sides

2x%2B3=y

Add -3 to both sides

2x=y-3

Divide both sides by 2

x=%28y-3%29%2F2

Substitute %28y-3%29%2F2 for x in

x%3C2

%28y-3%29%2F2%3C2

Clear of fractions by multiplying both sides by 2

y-3%3C4

Add 3 to both sides:

y%3C7

Correct answer is (A)

Edwin