To solve the compound inequality 44 < 2x < 88, we can break it down into two separate inequalities: 44 < 2x and 2x < 88.
Starting with the first inequality, we divide both sides by 2:
44/2 < x ⇒ 22 < x
Now, let’s solve the second inequality:
2x < 88
Again, dividing both sides by 2 gives us:
x < 88/2 ⇒ x < 44
Now we can combine these results to express the compound inequality in its equivalent form:
22 < x < 44
Thus, the equivalent form of the original compound inequality is 22 < x < 44.