Question

Determine if the statement below is always true, sometimes true, or never true. When x is a

nonzero integer, the quantity -3x will be negative.
Explain your reasoning.

Answer 1

Sometimes

Explanation:

When x is a nonzero integer, then x can be

• negative;
• positive.

If x is negative, then
`-3x` is positive (multiplying negative number by -3 you get positive number).

If x is positive, then
`-3x` is negative (multiplying positive number by -3 you get negative number).

So, the statement "When x is a nonzero integer, the quantity -3x will be negative" is sometimes true.