Question

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

Answer 1

Sometimes True

Step-by-step explanation:

Carry claimed that the expression -5+m is negative.

To determine the truthfulness of the claim, we examine three possible scenarios.

Case 1: When m<5 (say 4)

`-5+m=-5+4=-1\text{ (Negative)}`

Case 2: When m>5 (say 6)

`-5+m=-5+6=1\text{ (Positive)}`

Case 3: When m=5

`-5+m=-5+5=0`

We observe that the expression is negative whenever m is less than 5.

Therefore, we conclude that Carry's claim is sometimes true.