Are the Following Pairs of Sets Equal?
Are the Following Pairs of Sets Equal?
| Question |
Answer |
|
(i)
\[
A=\{2,3\}
\]
\[
B=\{x:x \text{ is a solution of }x^2+5x+6=0\}
\]
|
\[
x^2+5x+6=0
\]
\[
(x+2)(x+3)=0
\]
\[
x=-2,-3
\]
Therefore,
\[
B=\{-2,-3\}
\]
Since
\[
A=\{2,3\}\ne\{-2,-3\},
\]
the sets are not equal.
|
|
(ii)
\[
A=\{x:x \text{ is a letter of the word “WOLF”}\}
\]
\[
B=\{x:x \text{ is a letter of the word “FOLLOW”}\}
\]
|
\[
A=\{W,O,L,F\}
\]
\[
B=\{F,O,L,W\}
\]
Both sets contain the same elements.
Therefore,
\[
A=B
\]
|
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