State whether the following statements are true or false-i 1 - 1-2-3ii a - b - c - a iii a - a - b - civ a- b - a - a - b - b - av The set x - x-8-8 is the null set-

(i) True (ii) False It should be written as a #160; #8834;b,c,a #160;or #160;a #8712;b,c,a. (iii) False It should be written as a #160; #8834;b,c, ...

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Standard XI

Mathematics

Complex Numbers

State whether...

Question

State whether the following statements are true or false:
(i) $1 \in \{1, 2, 3\}$
(ii) $a \subset {b, c, a}$
(iii) $\{a\} \in \{a, b, c\}$
(iv) $\{a, b\} = \{a, a, b, b, a\}$
(v) The set {x ; x + 8 = 8} is the null set.

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Solution

(i) True
(ii) False
It should be written as ${a} \subset {b, c, a} or a \in {b, c, a}$ .
(iii) False
It should be written as ${a} \subset {b, c, a} or a \in {b, c, a}$ .
(iv) True
(v) False
The element of the set {x ; x + 8 = 8} is {0}. Therefore, it is not an empty or null set.

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State whether the following statements are true or false: (i) 1∈ 1, 2, 3 (ii) a⊂{b, c, a} (iii) a∈ a, b, c (iv) a, b=a, a, b, b, a (v) The set {x ; x + 8 = 8} is the null set.

(i) True (ii) False It should be written as {a} ⊂{b,c,a} or a∈{b,c,a}. (iii) False It should be written as {a} ⊂{b,c,a} or a∈{b,c,a}. (iv) True (v) False The element of the set {x ; x + 8 = 8} is {0}. Therefore, it is not an empty or null set.

State whether the following statements are true or false:
(i) $1 \in \{1, 2, 3\}$
(ii) $a \subset {b, c, a}$
(iii) $\{a\} \in \{a, b, c\}$
(iv) $\{a, b\} = \{a, a, b, b, a\}$
(v) The set {x ; x + 8 = 8} is the null set.

(i) True
(ii) False
It should be written as ${a} \subset {b, c, a} or a \in {b, c, a}$ .
(iii) False
It should be written as ${a} \subset {b, c, a} or a \in {b, c, a}$ .
(iv) True
(v) False
The element of the set {x ; x + 8 = 8} is {0}. Therefore, it is not an empty or null set.