Which of the following is not a set of letters of word PRINCIPAL?
A set has all unique elements. So the set which contain all the elements of word PRINCIPAL and no letter is repeated. Hence, {P,R,I,N,C,I,P,A,L} cannot be a set.
Write solution set of equation x2-3x+2=0 in roster form.
x2-3x+2=0 =>x2-x-2x-2=0=>x(x-1)-2(x-1)=0 =>(x-1)(x-2)=0=>x=1,2 so, the solution set of equation x2-3x+2=0 in roster form is {1,2}.
Write the set {x : x is an integer and x2-9=0} in roster form.
Since x is given as integer so x can be positive as well as negative. x2-9=0 => (x-3)(x+3)=0 => x=3,-3. So, the set {x : x is an integer and x2-9=0} can be written as {3,-3}.
Write the set {x : x is a natural number and x2-9=0} in roster form.
Since x is given as natural number so x can be positive only. x2-9=0 => (x-3)(x+3)=0 => x=3,-3. Here, -3 is not a natural number so, the set {x : x is a natural number and x2-9=0} can be written as {3}.
Here, 2 is an element of set A. So, 2 belong to set A. 2∈A.