Question

The compound inequality 8.00 ≤ x < 9.50 represents all values, x, for which college students are paid hourly as teacher assistants. What is another way of writing this compound inequality?
x ≤ 8.00 and x < 9.50
x ≤ 8.00 or x < 9.50
x ≥ 8.00 and x < 9.50
x ≥ 8.00 or x < 9.50

Answer 1

\[a \le x \le b\]
means \[a \le x~and~x \le b~or~ x \ge a~and~x \le b\]

Answer 2

hint:
we can read the original compound inequality as follows:
the set of all values \(x\), such that \(x\) is greater or equal than \(8.00\), \(and\) \(x\) is less than \(9.50\)