Question 986213
.
1) |x| = -6               Never true  (because the absolute value is always positive);


2) |x| = x &nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;is true at x >= 0 &nbsp;&nbsp;&nbsp;(sometimes true: &nbsp;infinitely many solutions. &nbsp;But NOT always true: &nbsp;is not true at &nbsp;x < 0). 


3) |x|+|x| = 2x &nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;(2|x| = 2x; is true at x >= 0 &nbsp;&nbsp;&nbsp;I.e. sometimes true: &nbsp;infinitely many solutions. &nbsp;But NOT always true: &nbsp;is not true at &nbsp;x < 0).


4) |x+2| = x+2 &nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;(is true at x >= -2. &nbsp;Is not true at x < -2. &nbsp;Therefore, &nbsp;sometimes true; &nbsp;not always true).