The expression is x + 0 = x.
\Try with some positive values and check whether the equation is true.
\Substitute any positive value for x: say 1.
\1 + 0 = 1
Compare the equation, the equation is true for x = 1.
Substitute any other positive value for x: say 2.
\2 + 0 = 2
Compare the equation, the equation is true for x = 2.
\The given equation is true for any positive value of x.
\Try with some negative values and check whether the equation is true.
\Substitute any negative value for x: say 1. \ \
(1) + 0 = (
1)
Compare the equation, the equation is true for x = 1.
Substitute any other positive value for x: say -2. \ \
(2) + 0 = (
2)
Compare the equation, the equation is true for x = 2.
The given equation is true for any negative value of x.
Substitute x = 0. \ \ (0) + 0 = (0)
\0 = 0 (Simplify).
Compare the equation, the equation is true for x = 0.
\The given equation is true only when x = 0.
The equation is representing additive identity property. i.e a + 0 = a.
\The equation is always true.
\The equation is always true.