SOLUTION: For which function, y = 2x or y = x+2, is the value of y always greater than the value of x? Explain you answer.

Algebra ->  Linear-equations -> SOLUTION: For which function, y = 2x or y = x+2, is the value of y always greater than the value of x? Explain you answer.      Log On


   



Question 1112510: For which function, y = 2x or y = x+2, is the value of y always greater than the value of x? Explain you answer.
Answer by math_helper(2461) About Me  (Show Source):
You can put this solution on YOUR website!
What happens when x is less than or equal to zero? For example, let x=-5 ... what do you think?

———————————————————
Let's build a table:
x          2x           x+2
—         ———           ———
5           10           7
1            2           3
0           0            2
-1         -2            1
-2         -4            0
-5         -10          -3


So, now I ask in which column are the values _always_ greater than x? Remember, the more negative a number is the lower its value ( -10 is less than -5, written mathematically -10 < -5).