Let Q = {-8} and R = {-12, -4, 6, 8, 14}. What is Q ∪ R? Choices: (A){6, 8, 14} (B) ∅ (C){-12, 6} (D){-12, -8, -4, 6, 8, 14}

Find Union of Sets: We need to find the union of sets Q and R. The union of two sets is the set containing all the elements from both sets, without duplicates. Q = {-8} R = {-12, -4, 6, 8, 14} To find Q ∪ R, we combine all the elements from both sets.List Unique Elements: We list all the unique elements from both sets Q and R. Q ∪ R = {-12, -8, -4, 6, 8, 14} We make sure not to include any duplicates and to list each element only once.Check Given Choices: Now we check the choices given to see which one matches our result. (A) {6, 8, 14} does not include all the elements from Q ∪ R. (B) ∅ is the empty set and does not match Q ∪ R. (C) {-12, 6} is missing several elements from Q ∪ R. (D) {-12, -8, -4, 6, 8, 14} matches our calculated union of Q and R.

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Let $Q = \{-8\}$ and $R = \{-12, -4, 6, 8, 14\}$ . What is $Q \cup R$ ? $\newline$ Choices: $\newline$ (A) $\{6, 8, 14\}$ $\newline$ (B) $\emptyset$ $\newline$ (C) $\{-12, 6\}$ $\newline$ (D) $\{-12, -8, -4, 6, 8, 14\}$

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Math Problems

Grade 8

Write variable expressions for arithmetic sequences

Full solution

Q. Let

Q = \{-8\}

and

R = \{-12, -4, 6, 8, 14\}

. What is

Q \cup R

\newline

Choices:

\newline

(A)

\{6, 8, 14\}

\newline

(B)

\emptyset

\newline

(C)

\{-12, 6\}

\newline

(D)

\{-12, -8, -4, 6, 8, 14\}

Find Union of Sets: We need to find the union of sets $Q$ and $R$ . The union of two sets is the set containing all the elements from both sets, without duplicates. $Q = \{-8\}$ $R = \{-12, -4, 6, 8, 14\}$ To find $Q \cup R$ , we combine all the elements from both sets.
List Unique Elements: We list all the unique elements from both sets $Q$ and $R$ . $Q \cup R = \{-12, -8, -4, 6, 8, 14\}$ We make sure not to include any duplicates and to list each element only once.
Check Given Choices: Now we check the choices given to see which one matches our result. $\newline$ (A) $\{6, 8, 14\}$ does not include all the elements from $Q \cup R$ . $\newline$ (B) $\emptyset$ is the empty set and does not match $Q \cup R$ . $\newline$ (C) $\{-12, 6\}$ is missing several elements from $Q \cup R$ . $\newline$ (D) $\{-12, -8, -4, 6, 8, 14\}$ matches our calculated union of $Q$ and $R$ .