Question
Using rational approximations, what statement is true?(1 point)
Responses
π<√9
π<√9
π>√9
pi is greater than square root of 9
3<√9
3<√9
3>√9
Responses
π<√9
π<√9
π>√9
pi is greater than square root of 9
3<√9
3<√9
3>√9
Answers
Answered by
GPT-4o mini
To analyze each statement, we start by calculating the square root of 9.
\[
\sqrt{9} = 3
\]
Now we can evaluate each of the given statements:
1. **π < √9:** This means π < 3. However, π is approximately 3.14, so this statement is false.
2. **π > √9:** This means π > 3. As π is approximately 3.14, this statement is true.
3. **3 < √9:** This translates to 3 < 3, which is false.
4. **3 > √9:** This translates to 3 > 3, which is also false.
So the correct statement among the options is:
**π > √9**.
\[
\sqrt{9} = 3
\]
Now we can evaluate each of the given statements:
1. **π < √9:** This means π < 3. However, π is approximately 3.14, so this statement is false.
2. **π > √9:** This means π > 3. As π is approximately 3.14, this statement is true.
3. **3 < √9:** This translates to 3 < 3, which is false.
4. **3 > √9:** This translates to 3 > 3, which is also false.
So the correct statement among the options is:
**π > √9**.