State which of the following are infinite sets- iA-x-x- Z- x2 is even iiB-x-x- R-4-x-2

The correct option is B (i) and (ii) both (i)A={x:x∈ Z: x^2 #160; is even } A={..., 6, 4, 2,0,2,4,6,...} which is an infinite set ...

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Standard X

Mathematics

Finite and Infinite Sets

State which o...

Question

State which of the following are infinite sets.
$(i) A = {x : x \in Z : x^{2}$ is even $}$
$(i i) B = {x : x \in R : - 4 < x < - 2}$

(i)

only

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(i i)

only

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(i)

and

(i i)

both

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Neither

(i)

nor

(i i)

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Solution

The correct option is B $(i)$ and $(i i)$ both
$(i) A = {x : x \in Z : x^{2}$ is even $}$
$A = {. . ., - 6, - 4, - 2, 0, 2, 4, 6, . . .}$ which is an infinite set.
$(i i) B = {x : x \in R : - 4 < x < - 2}$
There will be infinite real numbers any two numbers so, it is an infinite set.

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State which of the following are infinite sets.(i)A={x:x∈Z:x2 is even }(ii)B={x:x∈R:−4<x<−2}

The correct option is B (i) and (ii) both(i)A={x:x∈Z:x2 is even }A={...,−6,−4,−2,0,2,4,6,...} which is an infinite set.(ii)B={x:x∈R:−4<x<−2}There will be infinite real numbers any two numbers so, it is an infinite set.

State which of the following are infinite sets.
$(i) A = {x : x \in Z : x^{2}$ is even $}$
$(i i) B = {x : x \in R : - 4 < x < - 2}$

The correct option is B $(i)$ and $(i i)$ both
$(i) A = {x : x \in Z : x^{2}$ is even $}$
$A = {. . ., - 6, - 4, - 2, 0, 2, 4, 6, . . .}$ which is an infinite set.
$(i i) B = {x : x \in R : - 4 < x < - 2}$
There will be infinite real numbers any two numbers so, it is an infinite set.