Question

Nikhita said a=(x/x<1 and x>3) is an empty set,do youvagree give reasons?

Answer 1

The equation a = (x/x<1 and x>3) is an empty set because there is no value of x that satisfies both conditions simultaneously.

Step-by-step explanation:

In the given equation a = (x/x<1 and x>3), we need to determine if it is an empty set. To do this, we can analyze the two conditions separately. First, x/x<1 states that x divided by x is less than 1. However, any number divided by itself is always equal to 1. Therefore, this condition is not satisfied for any value of x, resulting in an empty set. Second, x>3 indicates that x is greater than 3. Combining these two conditions, we find that there is no value of x that satisfies both conditions simultaneously, confirming that the set is indeed empty.