July2016 cs Q70
0. Consider the statement, “Either – 2 ≤ x ≤ – 1 or 1 ≤ x ≤2”. The negation of this statement is
- Option : A
- Explanation : “Either – 2 ≤ x ≤ – 1 or 1 ≤ x ≤2”. i.e. Eiter x ≥ -2 or x ≤ -1 or 1 ≤ x or x ≤ 2” We have to find negation of above statement: Negation of x ≥ -2 is x < 2. Negation of x ≤ -1 is x > -1. Negation of 1 ≤ x is x < 1 Negation of x ≤ 2 is x > 2. i.e. x < – 2 or 2 < x or – 1 < x < 1. So, option (A) is correct.
