A -x-x nbsp- nbsp-R- -x-2- 16 and 2x nbsp- 6- can be represented in the roster form as - - A - -A - 14- 3- 4 -A - 3 -A - 4 -

The correct option is A A = x^2 nbsp;= 16 ⇒ x= ± nbsp;4 2x=6⇒ x=3 There is no value of x which satisfies both the given nbsp;equations. The set A is an ...

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Standard VII

Mathematics

Null Set

A ={x:x nbs...

Question

$A = {x : x \in R, x^{2} = 16 and 2 x = 6}$ can be represented in the roster form as _________ .

A = {}

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A = { 14, 3, 4 }

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A = { 3 }

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A = { 4 }

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Solution

The correct option is A
A = {}

$x^{2} = 16 \Rightarrow x = \pm 4$

$2 x = 6 \Rightarrow x = 3$

There is no value of $x$ which satisfies both the given equations. The set A is an empty set or a null set.

Thus, A = {}.

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Similar questions

Given A = ${x : x \in N a n d 3 < x \leq 6}$ and B = ${x : x \in W a n d x < 4}$ . Find : (i) Sets A and B in roster form (ii) $A \cup B$ (iii) $A \cap B$ (iv) A - B (v) B - A

$A = {x : x \in R, x^{2} = 16 and 2 x = 6}$ can be represented in the roster form as _________ .

A = {x : x \in R, x^{2} = 16 and 2 x = 6}

. Represent the set in roster form.

A = {x : x \in R, x^{2} = 16 and 2 x = 6}

. Represent the set in roster form.
[2 Marks]

$A = {x : x \in R, x^{2} = 16 and 2 x = 6}$ can be represented in the roster form as _________ .

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A={x:x∈R, x2=16 and 2x=6} can be represented in the roster form as _________ .

The correct option is A A = {} x2=16⇒x=±4 2x=6⇒x=3 There is no value of x which satisfies both the given equations. The set A is an empty set or a null set. Thus, A = {}.

$A = {x : x \in R, x^{2} = 16 and 2 x = 6}$ can be represented in the roster form as _________ .

The correct option is A
A = {}

$x^{2} = 16 \Rightarrow x = \pm 4$

$2 x = 6 \Rightarrow x = 3$

There is no value of $x$ which satisfies both the given equations. The set A is an empty set or a null set.

Thus, A = {}.