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.
solve 1/4 x 3/4 >5 1/4
x>18
x>1 1/2
x>21 3/4
x>24
1 answer