If -5 < x and x ≤ 6, x ∈ R

Assertion (A): The above inequation has no solution.

Reason (R): Infinitely many real numbers lie between -5 and 6.

1. Assertion (A) is true, but Reason (R) is false.

2. Assertion (A) is false, but Reason (R) is true.

3. Both Assertion (A) and Reason (R) are correct, and Reason (R) is the correct reason for Assertion (A).

4. Both Assertion (A) and Reason (R) are correct, and Reason (R) is incorrect reason for Assertion (A).

Given; -5 < x and x ≤ 6

⇒ -5 < x ≤ 6

Since, x ∈ R

The inequality does have a solution. In fact, it has infinitely many solutions as infinitely many real numbers lie between -5 and 6.

Thus, Assertion (A) is false, but Reason (R) is true.

Hence, option 2 is the correct option.