If A ≤ B and B < C, which of the following is true?

₹0.0

Question: If A ≤ B and B < C, which of the following is true?

Options:

Correct Answer: A < C

Solution:

From A ≤ B and B < C, we can conclude A < C.

If A ≤ B and B < C, which of the following is true?

If A ≤ B and B < C, which of the following is true?

Step 1: Understand the symbols. A ≤ B means A is less than or equal to B. B < C means B is strictly less than C.
Step 2: Since A is less than or equal to B, A can be equal to B or less than B.
Step 3: Since B is less than C, it means that B is not equal to C and is smaller than C.
Step 4: If A is equal to B, then A is still less than C because B is less than C.
Step 5: If A is less than B, then A is also less than C because B is less than C.
Step 6: Therefore, in both cases (A = B or A < B), we can conclude that A is less than C.

Inequalities – Understanding the relationships between numbers using inequalities (less than, less than or equal to).
Transitive Property – The principle that if A ≤ B and B < C, then A < C can be inferred through transitive reasoning.