which compound inequality is represented by the graph? -5 -4 -3 -2 -1 0 1 2 3 4 5 -2 < x ≤ 4 -2 ≤ x < 4 x <…
which compound inequality is represented by the graph? -5 -4 -3 -2 -1 0 1 2 3 4 5 -2 < x ≤ 4 -2 ≤ x < 4 x < -2 or x ≥ 4 x ≤ -2 or x > 4
Answer
Explanation:
Step1: Analyze left part of the graph
The graph has an open circle at -2 and extends left, representing ( x < -2 ).
Step2: Analyze right part of the graph
The graph has a closed circle at 4 and extends right, representing ( x \geq 4 ).
Step3: Combine two parts with "or"
Since the solution includes either left or right part, it's a compound inequality with "or".
Answer:
C. ( x < -2 ) or ( x \geq 4 )