3. The length, \( p \mathrm{~cm} \), of a car is 440 cm , correct to the nearest 10 cm . Complete the statement about \( p \).

The given length is 440 cm rounded to the nearest 10 cm. This means that the actual length \( p \) lies in the interval where any value in that interval, when rounded to the nearest 10 cm, gives 440 cm. To determine the interval, notice that if \( p \) is less than halfway between 430 and 440, it would round down to 430 cm. Similarly, if \( p \) is halfway between 440 and 450 or more, it would round up to 450 cm. Thus, rounding to 440 cm means that \( p \) must be at least halfway between 430 and 440, and less than halfway between 440 and 450. The halfway point between 430 and 440 is \[ \frac{430 + 440}{2} = 435 \text{ cm} \] and the halfway point between 440 and 450 is \[ \frac{440 + 450}{2} = 445 \text{ cm}. \] Therefore, the actual length \( p \) satisfies \[ 435 \leq p < 445. \]