Compare the expression on the left with the expression on the right by selecting the correct inequality symbol.

Remember that 𝝅 is slightly greater than 3.



Expression

< or >

Expression

2 > 6
5-
Question Blank 1 of 3
choose your answer...
2
3
Question Blank 2 of 3
choose your answer...
9
+ 4
Question Blank 3 of 3
choose your answer...
7
Hint:

A number in front of is multiplying to it.
So 2 means 2 times

Since is a little more than 3, the answer will be
a little more than 6.

Reminder:

> is called the "greater than" inequality symbol.
For example 6 > 3



< is called the "less than" inequality symbol.
For example 2 < 5

1 answer

Let's break down the given expressions step by step.

Left Expression:

\( 2 \cdot \pi \) Since \( \pi \) is slightly greater than 3: \[ 2\pi > 2 \cdot 3 = 6 \]

Right Expression:

The right-hand expression is \( 5 - 2 + 4 + 9 \):

  • First simplify \( 5 - 2 \): \[ 5 - 2 = 3 \]
  • Now add 4: \[ 3 + 4 = 7 \]
  • Finally, add 9: \[ 7 + 9 = 16 \]

Comparison:

Now we have:

  • Left Expression: \( 2\pi \) (which is greater than 6)
  • Right Expression: \( 16 \)

Now we can compare: \[ 2\pi > 6 < 16 \]

Since \( 2\pi > 6 \) and \( 16 > 6 \), it follows that: \[ 2\pi < 16 \]

Putting it all together, the choices in the blanks would be as follows:

  1. \( 2\pi \) to \( 6 \)
  2. \( 6 \) to \( 9 \)
  3. \( 9 \) to \( 16 \)

Final answer:

  1. > (2π > 6)
  2. < (6 < 16)

So, to complete the statements:

  • \( 2\pi > 6 \)
  • \( 6 < 16 \)

You would select:

  • Blank 1: >
  • Blank 2: <
  • Blank 3: < (6 < 16, comparing 9 to 16 is not needed since it confirms my comparison with the 16)