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Which graph represents the compound inequality x is less than or equal to 5/4 or x is greater than or equal to 5/2​

Which graph represents the compound inequality x is less than or equal to 5/4 or x-example-1

2 Answers

6 votes

Answer:

The second option

Explanation:

Have a good day! :)

User Adrian Mester
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3 votes

Answer:

Option 2 (Graph B)

Explanation:

x ≤ ⁵/4 or x ≥ ⁵/2 represents a compound inequality containing the union of two statements. Either of the statements makes the compound inequality true.

On a graph, the small "o" indicating the start of the value of x would be full, this means ⁵/4 and ⁵/2 are included in the solutions.

Therefore, the correct graph in option 2 (Graph B), where the arrow goes from between 1 and 1.5 to your left, and the other arrow goes from 2.5 to your right.

User Greg Lafrance
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4.3k points