Explanation

Three axioms define a topology:

The empty set and the whole space must be open. 

The union of any collection of open sets must be open. 

The intersection of a finite number of open sets must be open. 

Why is option B incorrect?

While the intersection of a finite number of open sets is open, the intersection of an infinite number of open sets is not necessarily open.

This is a key distinction in the definition of a topology. 

Explanation

Explanation

$$0.0035+(0.275\times 350)$$

Step 1: Multiply

$$0.275\times 350=96.25$$

Step 2: Add

$$96.25 + 0.0035 = 96.2535$$

Explanation

The biology and maths students be 6x and 7x 

now 6x = 90 

x = 90/6 

x = 15 

7x = 7 * 15 

7x = 105 

105 students are taking mants 

SH1-9-2023

Explanation

x/5 + 4 = x/4 -10

x/5 - x/4 = -10 -4

4x - 5x /20 = -14

4x - 5x = -14 x 20

- x = - 280

x = 280

Explanation

Smallest two digits: 10

Greatest: 99

Explanation

56-19=37

Explanation

The fraction 1/5 represents one part out of five equal parts.

It is referred to as one-fifth.

Explanation

The symbol used to denote the proportionality is '∝'.

For example, if we say, a is proportional to b, then it is represented as “a ∝ b”

Explanation

The relationship between 4 and 20 is that 20 is 5 times 4.

Similarly, to find the number that corresponds to 5 in the same way, multiply 5 by 6:

4×5=20

5×6=30

Thus, 5 is to 30 in the same way that 4 is to 20.