Question

3<4(x-y)<5 x=3 5/12 y= 1 1/6

Answer 1

x - y = 3 5/12 - 1 2/12 = 2 3/12 = 2 1/4

2 1/4 * 4 = 8 + 1 = 9

3 < 9 < 5 - не верно

Значит, 4(x-y) - не принадлежит интервалу от 3 до 5

Answer 2

To evaluate the expression, we'll first substitute the values of x and y into the expression 3 < 4(x-y) < 5 and then simplify it step by step.

Given: x = 3 5/12 (To convert this mixed fraction to an improper fraction, multiply the whole number by the denominator and add the numerator.) x = 3 + 5/12 x = 36/12 + 5/12 x = 41/12

y = 1 1/6 (To convert this mixed fraction to an improper fraction, multiply the whole number by the denominator and add the numerator.) y = 1 + 1/6 y = 6/6 + 1/6 y = 7/6

Now, let's substitute the values of x and y into the expression:

3 < 4(x - y) < 5 3 < 4(41/12 - 7/6) < 5

Next, simplify the expression inside the parentheses:

41/12 - 7/6 To subtract these fractions, we need a common denominator, which is 12:

(41/12) - (7/6) = (41/12) - (14/12) = (41 - 14)/12 = 27/12

Now, the expression becomes:

3 < 4(27/12) < 5

Further simplifying:

4(27/12) = (4 * 27)/12 = 108/12 = 9

The final expression is:

3 < 9 < 5

However, this expression is not valid since 9 cannot be both less than 3 and greater than 5 at the same time. It seems there might be an error in the initial problem statement or the given values of x and y.

Please recheck the values of x and y or the original expression. If you provide the correct values, I can help you evaluate the expression correctly.