Question

Cary claimed that the expression − 5 + m − 5 + m is negative. Determine whether Cary's claim is always true, sometimes true, or never true. Provide evidence to support your conclusion.

Answer 1

Answer:

The given Expression is sometimes true.

Step-by-step explanation:

from the question,

The given expression by Cary is   $-5 + m -5+ m$.

So, solving the expression we get

     ⇒            $-10+2m$

                     Let $m$ is an integer.

Whenever,  

                   (a)    $m < 5$                             { $m = 4,3,2,1,0,-1,-2.......................$}

                  The given Expression always gives negative value.

                  (b)     $m\geq 5$                             {$m = 5,6,7,8,9.......................$}

                  The given Expression always gives positive value.

Here, we get that the given Expression is not providing the Negative value always, that's why it is not always true and can't be never true.

Hence,

According to Cary's claimantion the given Expression is sometimes true.