Are following pair of sets equal ? Give reasons. A = { 2,3} ,quad ,,,B = { x:x is solution of {x^2}

English

Gujarati

Hindi

1.Set Theory

easy

Are the following pair of sets equal ? Give reasons.

$A = \{ 2,3\} ,\quad \,\,\,B = \{ x:x$ is solution of ${x^2} + 5x + 6 = 0\} $

Option A

Option B

Option C

Option D

Solution

$A = \{ 2,3\} ,\quad \,\,\,B = \{ x:x$ is solution of ${x^2} + 5x + 6 = 0\} $

The equation $x^{2}+5 x+6=0$ can be solved as:

$x(x+3)+2(x+3)=0$

$(x+2)(x+3)=0$

$x=-2$ or $x=-3$

$\therefore A=\{2,3\} ; B=\{-2,-3\}$

$\therefore A \neq B$

Standard 11

Mathematics

Share

Similar Questions

Two finite sets have $m$ and $n$ elements. The total number of subsets of the first set is $56$ more than the total number of subsets of the second set. The values of $m$ and $n$ are

medium

If a set $A$ has $n$ elements, then the total number of subsets of $A$ is

easy

Which of the following sets are finite or infinite.

The set of prime numbers less than $99$

easy

Let $A=\{1,2,\{3,4\}, 5\} .$ Which of the following statements are incorrect and why ?

$\varnothing \in A$

easy

Which of the following are sets ? Justify your answer.

The collection of all the months of a year beginning with the letter $\mathrm{J}.$

easy