solve 1/4 x 3/4 >5 1/4

Question

x>18
x>1 1/2
x>21 3/4
x>24

Answer 1

To solve this inequality, we first multiply 1/4 and 3/4:

(1/4)*(3/4) = 3/16

Now the inequality becomes:

3/16 > 5 1/4

To compare the fraction 3/16 to the mixed number 5 1/4, we convert 5 1/4 to an improper fraction:

5 1/4 = (4*5 + 1)/4 = 21/4

So the inequality now becomes:

3/16 > 21/4

Next, we multiply both sides by 4 to get rid of the denominators:

3/16 * 4 > 21
3/4 > 21

However, 3/4 is less than 21, so there seems to be a mistake somewhere.

Let me redo the conversion of the mixed number to an improper fraction:

5 1/4 = (4*5 + 1)/4 = 21/4

Now comparing 3/16 to 21/4:

3/16 < 21/4

Therefore, the correct inequality is:

3/16 < 21/4

The solution is x < 21 3/4, so x > 1 1/2

Therefore, x > 1 1/2 is the correct solution.