Final answer:
Inductive reasoning is used to arrive at the conclusion that your brother dropped a cup based on specific observations like the sound of a crash and seeing glass on the floor.
Step-by-step explanation:
The conclusion that your brother has dropped a cup and made a mess after hearing a crash and seeing him being scolded with glass on the floor is an example of inductive reasoning. This type of reasoning involves making a general conclusion based on specific observations.
You've seen the glass on the floor, heard the scolding, and from this, you've induced that the noise was caused by your brother dropping a cup. This moves from the particular details to a general theory.
Inductive reasoning is often contrasted with deductive reasoning. Deductive reasoning would start with a general statement or theory, like 'all glass objects can break if dropped', and then move to a specific conclusion, such as 'if a glass cup was dropped, it would break'.
What you've done, however, is observed particulars and arrived at a general explanation, which is the hallmark of inductive reasoning.