Asked by Manpreet Dhaliwal on Jul 09, 2024
Verified
Write x<−5x < - 5x<−5 or x>4x > 4x>4 using set notation and the union or intersection symbol.
A) {x∣x<4}∪{x∣x>−5}\{ x \mid x < 4 \} \cup \{ x \mid x > - 5 \}{x∣x<4}∪{x∣x>−5}
B) {x∣x<−5}∪{x∣x<4}\{ x \mid x < - 5 \} \cup \{ x \mid x < 4 \}{x∣x<−5}∪{x∣x<4}
C) {x∣x<−5}∪{x∣x>4}\{ x \mid x < - 5 \} \cup \{ x \mid x > 4 \}{x∣x<−5}∪{x∣x>4}
D) {x∣x≤−5}∪{x∣x>4}\{ x \mid x \leq - 5 \} \cup \{ x \mid x > 4 \}{x∣x≤−5}∪{x∣x>4}
E) {x∣x<−5}∩{x∣x>4}\{ x \mid x < - 5 \} \cap \{ x \mid x > 4 \}{x∣x<−5}∩{x∣x>4}
Set Notation
The formal language used to describe a set, including symbols and conventions for expressing membership, union, intersection, and other set properties.
Union
The set containing all elements from two or more given sets, without duplication.
- Solve systems of linear inequalities.
Verified Answer
LC
Lakshay ChadhaJul 11, 2024
Final Answer :
C
Explanation :
The inequality x < -5 represents all real numbers less than -5, and the inequality x > 4 represents all real numbers greater than 4. The union of these two sets includes all real numbers that satisfy either inequality, which is exactly what choice C represents. None of the other choices include all values that satisfy the given inequality.
Learning Objectives
- Solve systems of linear inequalities.
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