If {N_a} = {an : n in N},then {N_5} cap {N_7} | vedclass

Name: Exam Paper Generator | JEE NEET Paper Generator | Vedclass
Brand: Vedclass
Rating: 5 (35 reviews)

Question

(C) The set ${N_a}$ consists of all multiples of $a$,i.e.,${N_a} = \{a, 2a, 3a, \dots\}$.The intersection ${N_5} \cap {N_7}$ consists of numbers that

Vedclass · Accepted Answer

${N_{35}}$

Vedclass · Answer

(C) The set ${N_a}$ consists of all multiples of $a$,i.e.,${N_a} = \{a, 2a, 3a, \dots\}$.The intersection ${N_5} \cap {N_7}$ consists of numbers that are multiples of both $5$ and $7$.Since $5$ and $7$ are relatively prime,the least common multiple of $5$ and $7$ is $5 	imes 7 = 35$.Therefore,the common multiples are multiples of $35$,which is represented as ${N_{35}}$.

If ${N_a} = \{an : n \in N\}$,then ${N_5} \cap {N_7} = $

Similar Questions

Let $A = \{1, 2, 3, 4, 5, 6\}$. Insert the appropriate symbol $\in$ or $\notin$ in the blank space:
$0 \dots A$

The set $A = \{ x : x \in \mathbb{R}, x^2 = 16 \text{ and } 2x = 6 \}$ is equal to

Show that if $A \subset B$,then $(C - B) \subset (C - A)$.

Show that $A \cup B = A \cap B$ implies $A = B$.

Which of the following is a set? Justify your answer.
$A$ collection of novels written by the writer Munshi Prem Chand.

Vedclass Test Series

Exam Paper Generator

Online Exam Module