2016 · Q18
Consider the following statements in respect of two different non zero integers p and q :
- 1For (p + q) to be less than (p-q), q must be negative.
- 2For (p + q) to be greater than (p - q), both p and q must be positive.
Which of the above statements is/are correct?
Elementary MathematicsNumber System
- A1 only
- B2 only
- CBoth 1 and 2
- DNeither 1 nor 2
Explanation
(p+q) < (p−q) simplifies to q < −q, i.e. q < 0, so statement 1 is true. (p+q) > (p−q) needs only q > 0; p may be negative (e.g. p = −5, q = 3 gives −2 > −8), so statement 2 is false. Hence 1 only, option A.