Which value would make the statement true?

Question

StartFraction 2 Over question mark EndFraction greater-than StartFraction 4 Over 12 EndFraction
4
6
12
24

Answer 1

To solve the inequality

\[ \frac{2}{?} > \frac{4}{12} \]

we first simplify \(\frac{4}{12}\):

\[ \frac{4}{12} = \frac{1}{3} \]

Now, the inequality becomes:

\[ \frac{2}{?} > \frac{1}{3} \]

To eliminate the fraction, we can cross-multiply (assuming that \(? > 0\)):

\[ 2 \times 3 > 1 \times ? \]

This simplifies to:

\[ 6 > ? \]

So, \(? < 6\). Therefore, any value less than 6 would satisfy the inequality.

Now, let's check the options:

1. \(4\): \(4 < 6\) (True)
2. \(6\): \(6 < 6\) (False)
3. \(12\): \(12 < 6\) (False)
4. \(24\): \(24 < 6\) (False)

The only value from the given options that makes the statement true is:

\[ \boxed{4} \]