Question

which statment is true

(2*3) x (2*4) < (2*2)*5

(2*3) x (2*4) > (2*2)*5

(2*3) x (2*4) = (2*2)*5

Answer 1

Let's evaluate each expression step by step.

1. Calculate \((2*3) \times (2*4)\):
\[
(2*3) = 6 \quad \text{and} \quad (2*4) = 8
\]
So,
\[
(2*3) \times (2*4) = 6 \times 8 = 48
\]

2. Calculate \((2*2) \times 5\):
\[
(2*2) = 4
\]
So,
\[
(2*2) \times 5 = 4 \times 5 = 20
\]

Now, we compare the two results:
- \((2*3) \times (2*4) = 48\)
- \((2*2) \times 5 = 20\)

Now we check the inequalities:
- \( 48 < 20\) (False)
- \( 48 > 20\) (True)
- \( 48 = 20\) (False)

Therefore, the true statement is:
\[
(2*3) \times (2*4) > (2*2) \times 5
\]