Answer
False
Work Step by Step
From the first two statements, all we know about $a$ and $b$ is that they are less than $c$. Thus, we cannot conclude that $a \lt x \lt b $.
You can help us out by revising, improving and updating this answer.
Update this answerAfter you claim an answer you’ll have 24 hours to send in a draft. An editor will review the submission and either publish your submission or provide feedback.