Suppose that 120 students are studying in 4 sections of eleventh stand

1.	Suppose that 120 students are studying in 4 sections of eleventh standard in a school. Let A denote the set of students and B denote the set of the sections. Define a relation from A to B as “x related toy if the student x belongs to the section y”. Is this relation a function? What can you say about the inverse relation? Explain your answer.
Answer» A = {set of students in 11^th standard} B = {set of sections in 11sup>th standard} R : A ➝ B ⇒ x related to y ⇒ Every students in eleventh Standard must in one section of the eleventh standard. ⇒ It is a function. Inverse relation cannot be a function since every section of eleventh standard cannot be related to one student in eleventh standard.

Suppose that 120 students are studying in 4 sections of eleventh standard in a school. Let A denote the set of students and B denote the set of the sections. Define a relation from A to B as “x related toy if the student x belongs to the section y”. Is this relation a function? What can you say about the inverse relation? Explain your answer.

Answer»

A = {set of students in 11^th standard}

B = {set of sections in 11sup>th standard}

R : A ➝ B ⇒ x related to y

⇒ Every students in eleventh Standard must in one section of the eleventh standard.

⇒ It is a function.

Inverse relation cannot be a function since every section of eleventh standard cannot be related to one student in eleventh standard.