Question:
The set $A = \{ x : x \in R, x^2 = 16$ and $2x = 6\}$ equals
The set $A = \{ x : x \in R, x^2 = 16$ and $2x = 6\}$ equals
Updated On: Jun 23, 2023
- $\phi$
- $\{ 14,3,4,\}$
- $\{3\}$
- $\{4\}$
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The Correct Option is A
Solution and Explanation
Since, $x^{2}=16 $
$\Rightarrow x=\pm 4$
and $2 x=6$
$ \Rightarrow x=3$
Hence, no value of $x$ is satisfied.
$\therefore A =\phi$
$\Rightarrow x=\pm 4$
and $2 x=6$
$ \Rightarrow x=3$
Hence, no value of $x$ is satisfied.
$\therefore A =\phi$
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In mathematics, a set is a well-defined collection of objects. Sets are named and demonstrated using capital letter. In the set theory, the elements that a set comprises can be any sort of thing: people, numbers, letters of the alphabet, shapes, variables, etc.
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The items existing in a set are commonly known to be either elements or members of a set. The elements of a set are bounded in curly brackets separated by commas.
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The cardinal number, cardinality, or order of a set indicates the total number of elements in the set.
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