Write the solution set of the equation ${x^2} + x - 2 = 0$ in roster form.
Write the solution set of the equation ${x^2} + x - 2 = 0$ in roster form.
The given equation can be written as
$\left( {x - 1} \right)\left( {x - 2} \right) = 0,$ i.e., $x=1,-2 $
Therefore, the solution set of the given equation can be written in roster form as $\{ 1, - 2\} $
Similar Questions
If a set $A$ has $n$ elements, then the total number of subsets of $A$ is
If a set $A$ has $n$ elements, then the total number of subsets of $A$ is
In each of the following, determine whether the statement is true or false. If it is true, prove it. If it is false, give an example.
If $A \subset B$ and $x \notin B,$ then $x \notin A$
In each of the following, determine whether the statement is true or false. If it is true, prove it. If it is false, give an example.
If $A \subset B$ and $x \notin B,$ then $x \notin A$
State which of the following sets are finite or infinite :
$\{ x:x \in N$ and $2x - 1 = 0\} $
State which of the following sets are finite or infinite :
$\{ x:x \in N$ and $2x - 1 = 0\} $
Examine whether the following statements are true or false :
$\{ x:x$ is an even natural number less than $6\} \subset \{ x:x$ is a natural mumber which divide $36\} $
Examine whether the following statements are true or false :
$\{ x:x$ is an even natural number less than $6\} \subset \{ x:x$ is a natural mumber which divide $36\} $
In each of the following, determine whether the statement is true or false. If it is true, prove it. If it is false, give an example.
If $x \in A$ and $A \not\subset B$, then $x \in B$
In each of the following, determine whether the statement is true or false. If it is true, prove it. If it is false, give an example.
If $x \in A$ and $A \not\subset B$, then $x \in B$