Consider the following statements in respect of two different non-zero integers p and q: I. For (p + q) to be less than (p - q), q must be negative II. For (p + q) to be greater than (p - q), both p and q must be positive Which of the above statements is/are correct?

1 only
2 only
Both 1 and 2
Neither 1 nor 2

LohaHridoy

4 views

2025-01-04 04:42

1 Answers

AhmedNazir

Option 1 : 1 only

Calculation:

Statement:1 p + q < p - q

⇒ q < - q

⇒ 2q < 0

⇒ q < 0

Hence, q must be negative

Statement: II p + q > p - q

⇒ q > -q

⇒ 2q > 0

⇒ q > 0

Hence, only q must be positive

∴ Only statement I is correct.

4 views Answered 2022-09-04 04:29

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