Question

problems 1–3: identify whether each equation has a solution that is positive, negative, or zero without solving. 1. $7x = 3.25$ 2. $-7x = 32.5$ 3. $3x + 11 = 11$

Explanation:

Step1: Analyze sign of 7x=3.25

Positive coefficient, positive result: $x$ is positive.

Step2: Analyze sign of -7x=32.5

Negative coefficient, positive result: $x$ is negative.

Step3: Analyze 3x+11=11

Isolate term: $3x = 11-11=0$, so $x=0$.

Answer:

1. Positive solution
2. Negative solution
3. Zero solution