Asked by Manpreet Dhaliwal on Jul 09, 2024

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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 \}{xx<4}{xx>5}
B) {x∣x<−5}∪{x∣x<4}\{ x \mid x < - 5 \} \cup \{ x \mid x < 4 \}{xx<5}{xx<4}
C) {x∣x<−5}∪{x∣x>4}\{ x \mid x < - 5 \} \cup \{ x \mid x > 4 \}{xx<5}{xx>4}
D) {x∣x≤−5}∪{x∣x>4}\{ x \mid x \leq - 5 \} \cup \{ x \mid x > 4 \}{xx5}{xx>4}
E) {x∣x<−5}∩{x∣x>4}\{ x \mid x < - 5 \} \cap \{ x \mid x > 4 \}{xx<5}{xx>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.
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Verified Answer

LC
Lakshay Chadha

2 days ago

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.