Question

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Answer 1

Answer:

Option (C)

Step-by-step explanation:

x and y are two rational numbers.

Two inequalities which define these numbers are,

x + y < 5 ------(1)

3 < x < 5 -------(2)

In this question we will substitute the values of y given in the options in the inequality (1) to get the value of x. If the value of x satisfies the inequality (2), it will be the answer.

Option (A). y = $\frac{8}{3}$

From inequality (1),

$x+\frac{8}{3}$

$x$

x < $\frac{7}{3}$

x < 2.33

But 3 < x < 5, therefore, y = $\frac{8}{3}$ is not the answer.

Option (B). y = 2

x + 2 < 5

x < 3

But x is greater than 3. Therefore, Option (B) will not be the answer.

Option (C). y = 0

x + 0 < 5

x < 5

Inequality (2) states the same thing.

Therefore, Option (C) will be the answer.

Option (D). y = 3

x + 3 < 5

x < 5 - 3

x < 2

But x > 3, therefore, Option (D) will not be the answer.

Answer 2

Answer:

C is correct because if x is less than 5 and greater than 3 than is would most likely be 4 and 4 plus 0 equals 4 the problem says x plus y should be less than 5 and 4 plus 0 is less than 5

Step-by-step explanation:

Long answer short the answer is c