Question

C) Rs. 10,390
45. Ifx-y=8, then which of the following must be true?
1. Both x and y must be positive for any value of x and
y.
2. Ifx is positive, y must be negative for any value of x
and y.
3. Ifx is negative, y must be positive for any value of x
and y.
Select the correct answer using the code given below.
a) 1 only
b) 2 only
c) Both 1 and 2
d) Neither 1 nor 2 nor 3​

Answer 1

Step-by-step explanation:

If x-y=8, which of the following must be true?

If x-y=8, which of the following must be true?I. Both x and y are positive

If x-y=8, which of the following must be true?I. Both x and y are positiveII. If x is positive, y must be positive

If x-y=8, which of the following must be true?I. Both x and y are positiveII. If x is positive, y must be positiveIII. If x is negative, y must be negative

If x-y=8, which of the following must be true?I. Both x and y are positiveII. If x is positive, y must be positiveIII. If x is negative, y must be negativeA) I only

If x-y=8, which of the following must be true?I. Both x and y are positiveII. If x is positive, y must be positiveIII. If x is negative, y must be negativeA) I onlyB) II only

If x-y=8, which of the following must be true?I. Both x and y are positiveII. If x is positive, y must be positiveIII. If x is negative, y must be negativeA) I onlyB) II onlyC) III only

If x-y=8, which of the following must be true?I. Both x and y are positiveII. If x is positive, y must be positiveIII. If x is negative, y must be negativeA) I onlyB) II onlyC) III onlyD) I and II

If x-y=8, which of the following must be true?I. Both x and y are positiveII. If x is positive, y must be positiveIII. If x is negative, y must be negativeA) I onlyB) II onlyC) III onlyD) I and IIE) II and III

If x-y=8, which of the following must be true?I. Both x and y are positiveII. If x is positive, y must be positiveIII. If x is negative, y must be negativeA) I onlyB) II onlyC) III onlyD) I and IIE) II and IIIGiven that: .

If x-y=8, which of the following must be true?I. Both x and y are positiveII. If x is positive, y must be positiveIII. If x is negative, y must be negativeA) I onlyB) II onlyC) III onlyD) I and IIE) II and IIIGiven that: .I. Both x and y are positive. Not necessarily true. Consider x=7 and y=-1.

If x-y=8, which of the following must be true?I. Both x and y are positiveII. If x is positive, y must be positiveIII. If x is negative, y must be negativeA) I onlyB) II onlyC) III onlyD) I and IIE) II and IIIGiven that: .I. Both x and y are positive. Not necessarily true. Consider x=7 and y=-1.II. If x is positive, y must be positive. Not necessarily true. Consider the same numbers.

If x-y=8, which of the following must be true?I. Both x and y are positiveII. If x is positive, y must be positiveIII. If x is negative, y must be negativeA) I onlyB) II onlyC) III onlyD) I and IIE) II and IIIGiven that: .I. Both x and y are positive. Not necessarily true. Consider x=7 and y=-1.II. If x is positive, y must be positive. Not necessarily true. Consider the same numbers.III. If x is negative, y must be negative. If x is negative, then we have that --> y cannot be a positive number, because in this case would be . Thus, in this case y must be a negative number.

If x-y=8, which of the following must be true?I. Both x and y are positiveII. If x is positive, y must be positiveIII. If x is negative, y must be negativeA) I onlyB) II onlyC) III onlyD) I and IIE) II and IIIGiven that: .I. Both x and y are positive. Not necessarily true. Consider x=7 and y=-1.II. If x is positive, y must be positive. Not necessarily true. Consider the same numbers.III. If x is negative, y must be negative. If x is negative, then we have that --> y cannot be a positive number, because in this case would be . Thus, in this case y must be a negative number.Answer: C.

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Answer 2

Answer:

It is given that x - y = 8

I. We may have x = 5 and y = - 3

So, it is not necessary that both x and y are positive.

II. If x positive, then it is not necessary that y is positive, as x = 5 and y = -3

III. If x < 0, then y = x - 8 which is clearly less than 0

So, if x is negative, then y must be negative.

Option (1) is correct

Step-by-step explanation:

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