what compound inequality describes this graph? write a compound inequality like 1 < x < 3 or like x < 1 or x…
what compound inequality describes this graph? write a compound inequality like 1 < x < 3 or like x < 1 or x > 3.
Answer
Explanation:
Step1: Analyze the open - circle at 4
An open - circle at 4 means the value 4 is not included, so the inequality is $x<4$.
Step2: Analyze the closed - circle at 5
A closed - circle at 5 means the value 5 is included, so the inequality is $x\geq5$.
Step3: Write the compound inequality
Since the graph has two non - overlapping parts, we use the "or" condition. The compound inequality is $x < 4$ or $x\geq5$.
Answer:
$x < 4$ or $x\geq5$