Which values make X over seven a whole number

Question

X equals seven true or false
X equals 11 true or false
X equals 49 true or false
X equals -245 true or false

Answer 1

To determine if \( \frac{X}{7} \) is a whole number, we need to check if \( X \) is divisible by 7. We'll analyze each value:

1. X equals 7: \[ \frac{7}{7} = 1 \quad \text{(whole number)} \quad \text{True} \]

2. X equals 11: \[ \frac{11}{7} \quad \text{(not a whole number)} \quad \text{False} \]

3. X equals 49: \[ \frac{49}{7} = 7 \quad \text{(whole number)} \quad \text{True} \]

4. X equals -245: \[ \frac{-245}{7} = -35 \quad \text{(whole number)} \quad \text{True} \]

So the results are as follows:

• \( X = 7 \): True
• \( X = 11 \): False
• \( X = 49 \): True
• \( X = -245 \): True