Are the following pair of sets equal? Give re | vedclass

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

Question

(B) Given sets are $A = \{ 2, 3 \}$ and $B = \{ x : x 	ext{ is a solution of } x^2 + 5x + 6 = 0 \}$.To find the elements of set $B$,we solve the quad

Vedclass · Accepted Answer

No,they are not equal.

Vedclass · Answer

(B) Given sets are $A = \{ 2, 3 \}$ and $B = \{ x : x 	ext{ is a solution of } x^2 + 5x + 6 = 0 \}$.To find the elements of set $B$,we solve the quadratic equation:$x^2 + 5x + 6 = 0$$x^2 + 3x + 2x + 6 = 0$$x(x + 3) + 2(x + 3) = 0$$(x + 2)(x + 3) = 0$$x = -2$ or $x = -3$Thus,$B = \{ -2, -3 \}$.Comparing set $A$ and set $B$:$A = \{ 2, 3 \}$$B = \{ -2, -3 \}$Since the elements of $A$ and $B$ are not the same,$A 
eq B$.

Are the following pair of sets equal? Give reasons.
$A = \{ 2, 3 \}, \quad B = \{ x : x \text{ is a solution of } x^2 + 5x + 6 = 0 \}$

Similar Questions

If $A = \{1, 2, 3, 4, 5\}$, then which of the following statements is not true?

Let $x_{1}, x_{2}, \ldots, x_{15}$ be $15$ distinct numbers chosen from $1, 2, 3, \ldots, 15$. Then, the value of $(x_{1}-1)(x_{2}-1)(x_{3}-1) \ldots (x_{15}-1)$ is

The number of non-empty subsets of the set $\{1, 2, 3, 4\}$ is

If $R$ is the set of real numbers and $Q$ is the set of rational numbers,then what is $R - Q$?

Given the sets $A = \{1, 3, 5\}$,$B = \{2, 4, 6\}$ and $C = \{0, 2, 4, 6, 8\}$,which of the following may be considered as a universal set for all the three sets $A$,$B$ and $C$?
$X = \{0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10\}$

Vedclass Test Series

Exam Paper Generator

Online Exam Module

Are the following pair of sets equal? Give reasons.$A = \{ 2, 3 \}, \quad B = \{ x : x \text{ is a solution of } x^2 + 5x + 6 = 0 \}$