Asked by Manpreet Dhaliwal on Jul 09, 2024

Verified

Write $x<−5$ or $x>4$ using set notation and the union or intersection symbol.

A) ${x∣x<4}∪{x∣x>−5}$

B) ${x∣x<−5}∪{x∣x<4}$

C) ${x∣x<−5}∪{x∣x>4}$

D) ${x∣x≤−5}∪{x∣x>4}$

E) ${x∣x<−5}∩{x∣x>4}$

A) ${x∣x<4}∪{x∣x>−5}$

B) ${x∣x<−5}∪{x∣x<4}$

C) ${x∣x<−5}∪{x∣x>4}$

D) ${x∣x≤−5}∪{x∣x>4}$

E) ${x∣x<−5}∩{x∣x>4}$

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 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.

## Learning Objectives

- Solve systems of linear inequalities.

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