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Question
Write down all possible proper subsets each of the following set:
{1, 2},
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Solution
{1}, {2}
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The collection of questions in this Chapter.
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Match each of the sets on the left in the roster form with the same set on the right described in the set-builder form:
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Write a correct form of each of the incorrect statement.
\[\left\{ a, b \right\} \subset \left\{ a, \left\{ b, c \right\} \right\}\]
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\[\left\{ 6, 7, 8 \right\} \in A\]
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\[\left\{ \left\{ 4, 5 \right\} \right\} \subset A\]
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\[\phi \in A\]
Let \[A = \left\{ \phi, \left\{ \phi \right\}, 1, \left\{ 1, \phi \right\}, 2 \right\}\]Which of the following are true? \[\left\{ \left\{ 2 \right\}, \left\{ 1 \right\} \right\} \not\subset A\]
Let \[\left\{ \left\{ 2 \right\}, \left\{ 1 \right\} \right\} \not\subset A\] Which of the following are true? \[\left\{ \left\{ 2 \right\}, \left\{ 1 \right\} \right\} \not\subset A\]
Write down all possible subsets of each of the following set:
{a}
Write down all possible proper subsets each of the following set:
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Let A = {1, 2, 3, 4, 5, 6}. Insert the appropriate symbol ∈ or ∉ in the blank space:
8 ____ A
Let A = {1, 2, 3, 4, 5, 6}. Insert the appropriate symbol ∈ or ∉ in the blank space:
10 _____ A
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Describe the following set in Roster form
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Describe the following set in Set-Builder form
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Write the following sets in the roaster form.
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Write the following sets in the roaster form.
C = {x : x2 + 7x – 8 = 0, x ∈ R}
Write the following sets in the roaster form:
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128 ∈ {y | the sum of all the positive factors of y is 2y}
In a group of 50 students, the number of students studying French, English, Sanskrit were found to be as follows:
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In a group of 50 students, the number of students studying French, English, Sanskrit were found to be as follows:
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In a class of 60 students, 25 students play cricket and 20 students play tennis, and 10 students play both the games. Then, the number of students who play neither is ______.
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State True or False for the following statement.
Let sets R and T be defined as
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T = {x ∈ Z | x is divisible by 6}. Then T ⊂ R
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