Question

Give answer

​Q4. Number of non-negative integral values of x satisfying the inequality 2 x 2 - x + 1 - 1 x + 1 - 2 x - 1 x 3 + 1 ≥ 0 is

(A) 0 (B) 1 (C) 2 (D) 3


Q5. The number of positive integers not satisfying the inequality x + 1 x + 2 x + 3 x - 1 x - 2 x - 3 ≥ 1 is equal to

(A) 3 (B) 2 (C) 1 (D) 0

Q6. Let a > 2, a ∈ N be a constant. If there are just 18 positive integers satisfying the inequality (x – a) (x– 2a) (x – a2) < 0 then which of the option (s) is / are correct?

(A) 'a' is composite (B) 'a' is odd

(C) 'a' is greater than 8 (D) 'a' lies in the interval (3, 11)


Q7. Solve the following inequalities :

(i) ( x – 1)2 (x + 1)3 ( x – 4) ≥ 0

(ii) x 4 x + 1 2 x - 2 x - 3 3 x + 4 > 0

Answer 1

Option a and option d is surely correct answer