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Empty Set

Find the foll...

Question

Find the following set is singleton set or not.
A = { $x$ : $7 x - 3 = 11$ }

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Solution

A singleton set has only one element.

$7 x - 3 = 11$
$\Rightarrow 7 x = 14$
$\Rightarrow x = 2$

Since $x$ has a single value, Set $A$ is a singleton set.

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