If $$D=\left\{x\epsilon R:\ x\ge0\right\},$$ determine if $$C\subseteq D$$ where $$C=\left\{x\epsilon R:\ -3\le x\le3\right\}.$$

No. $$C\not\subseteq D$$ because C includes negative numbers which are not in D.

Yes. $$C\subseteq D$$ because all the elements of C are in D.

Yes. $$C\subseteq D$$ because it satisfies the definition of a subsets.

No. $$C\not\subseteq D$$ because C contains all the elements in D.

Determine if set A is a subset of set E, where $$A=\left\{x\epsilon R:\ x>2\right\}\ and\ E=\left\{x\epsilon R:\ x\ge0\right\}$$

Yes. $$A\subseteq E$$ because all the elements of A are greater than 2 and thus non-negative.

No. $$A\not\subseteq E$$ because 0 is not included in A.

Yes. $$A\subseteq E$$ because all the elements of E is in A.

No. $$A\not\subseteq E$$ because all the elements of A are greater that 2.

Find the union of set F and set G, where $$F\ =\ \left\{x\epsilon R:\ x\ is\ an\ integer\right\}\ and\ G=\left\{x\epsilon R:\ x\ is\ not\ an\ integer\right\}$$

$$F\cup G=R$$ since F and G are complementary sets and cover all real numbers.

$$F\cup G=\phi$$ since F and G are complementary sets and they don't have common element.

$$F\cup G=Z^+$$ since it only covers positive integers.

$$F\cup G=R^+$$ since it covers only positive real numbers.

If $$A=\left\{a,b,c\right\}\ and\ B=\left\{b,c,d\right\}$$ what is the power set of $$A\cup B?$$

{ {}, {a}, {b}, {c}, {d}, {a,b}, {a,c}, {a,d}, {b,d}, {c,d}, {a,b,c}, {a,b,d}, {a,c,d}, {b,c,d}, {a,b,c,d}}

{}, {a}, {b}, {c}, {d}, {a,b}, {a,c}, {a,d}, {b,d}, {c,d}, {a,b,c}, {a,b,d}, {a,c,d}, {b,c,d}, {a,b,c,d}

{ {a}, {b}, {c}, {d}, {a,b}, {a,c}, {a,d}, {b,d}, {c,d}, {a,b,c}, {a,b,d}, {a,c,d}, {b,c,d}, {a,b,c,d}}

{ {}, {a}, {b}, {c}, {d}, {a,b}, {a,c}, {a,d}, {b,d}, {c,d}, {a,b,c}, {a,b,c,d}}

401 Sets Reviewer

Authored by Earl Maverick TheMarine

Mathematics

10th Grade

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MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Define a set A containing all real numbers greater than 2. Write A in a set-builder notation.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Define a set B containing all real numbers less than or equal to 5. Write B in set-builder notation.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Define a set C containing all real numbers between -3 and 3, inclusive. Write C in set-builder notation.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

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