Identify if each of the following equations is TRUE, FALSE or OPEN Equation 1: 2(x+7)=2x+14 Equation 2: 7−(13−5)=(13−5)−7 Equation 3: 4x−2=6

1 answer

Equation 1:
2(x+7)=2x+14
Expand and simplify:
2x + 14 = 2x + 14
Subtract 2x from both sides:
14 = 14
The equation is TRUE.

Equation 2:
7 - (13 - 5) = (13 - 5) - 7
Perform the operations inside the parentheses:
7 - 8 = 8 - 7
Simplify:
-1 = 1
The equation is FALSE.

Equation 3:
4x - 2 = 6
Add 2 to both sides:
4x = 8
Divide both sides by 4:
x = 2
The equation is OPEN because it has a solution, x = 2, but it can also have other solutions.