Classify as true or false, assuming that a, b, c, and d are whole numbers an $\mathrm { d } \neq 0$
-$$\text { If } \mathrm { d } \mid ( \mathrm { a } + \mathrm { b } ) \text {, then } \mathrm { d } \mid \mathrm { a } \text { or } \mathrm { d } \mid \mathrm { b } \text {. }$$

Question

Quizplus · Accepted Answer

The statement is not necessarily true because $d$ dividing $a + b$ does not imply that $d$ must divide $a$ or $b$ individually. For example, if $d = 2$, $a = 1$, and $b = 1$, then $d$ divides $a + b = 2$, but $d$ does not divide $a = 1$ or $b = 1$ individually.

Classify as True or False, Assuming That A, B, C d≠0\mathrm { d } \neq 0d=0

Classify as True or False, Assuming That A, B, C $\mathrm { d } \neq 0$