State the following statement is true or false-If E - x - 1 - 2x - 3x- x - W- then the set E is not a singleton set-

The correct option is B FalseSince, 1 + 2x #160;= 3x x = 1 Thus, there is only one value of x, such that 1 + 2x #160;= 3x Thus, E is a ...

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Standard XII

Mathematics

Empty Set

State the fol...

Question

State the following statement is true or false:
If $E = {x | 1 + 2 x = 3 x, x \in W},$ then the set $E$ is not a singleton set.

True

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False

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Solution

The correct option is B False
Since, $1 + 2 x = 3 x$
$⟹ x = 1$
Thus, there is only one value of $x,$ such that $1 + 2 x = 3 x$
Thus, E is a singleton set.

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State the following statement is true or false:If E={x|1+2x=3x,x∈W}, then the set E is not a singleton set.

The correct option is B FalseSince, 1+2x=3x⟹x=1Thus, there is only one value of x, such that 1+2x=3xThus, E is a singleton set.

State the following statement is true or false:
If $E = {x | 1 + 2 x = 3 x, x \in W},$ then the set $E$ is not a singleton set.

The correct option is B False
Since, $1 + 2 x = 3 x$
$⟹ x = 1$
Thus, there is only one value of $x,$ such that $1 + 2 x = 3 x$
Thus, E is a singleton set.