Question

Determine whether each statement is true or false.

For a real number x, x · 0 = x. ______

For a real number x where x ≠ 0, x () = 1. ______

For two different real numbers x and y, |x - y| = |x + y|. ______

For real numbers x, y, and z, (x + y)(z) = (xz) - (yz). ______

For rational numbers x and y, where y ≠ 0 is always a rational number. ______

Answer 1

1) false

2) true

3) false

4) false

5) false

Explanation:

x * 0 = 0

x * (1) = 1

(x + y ) first and ( x - y )

( x + y ) ( z ) = ( x * z ) + ( y * z )