To solve the inequality, first substitute x=3 5/12 and y=1 1/6 into the expression:
3 < 4(3 5/12 - 1 1/6) < 53 < 4(41/12 - 7/6) < 53 < 4(41/12 - 14/12) < 53 < 4(27/12) < 53 < 108/12 < 53 < 9 < 5
Therefore, the inequality simplifies to:3 < 9 < 5
This inequality is not possible as 9 cannot be less than 3 and greater than 5 at the same time. Therefore, the given values of x and y do not satisfy the inequality 3 < 4(x-y) < 5.
To solve the inequality, first substitute x=3 5/12 and y=1 1/6 into the expression:
3 < 4(3 5/12 - 1 1/6) < 5
3 < 4(41/12 - 7/6) < 5
3 < 4(41/12 - 14/12) < 5
3 < 4(27/12) < 5
3 < 108/12 < 5
3 < 9 < 5
Therefore, the inequality simplifies to:
3 < 9 < 5
This inequality is not possible as 9 cannot be less than 3 and greater than 5 at the same time. Therefore, the given values of x and y do not satisfy the inequality 3 < 4(x-y) < 5.