First, let's solve the inequality:
Subtracting 4 from all 3 terms, we get -6 < 3x < -2
Solving -6 < 3x results in x>-2, and solving 3x < -2 results in x < -2/3.
Ask: which integers satisfy x>-2? Answers: -1, 0, 1, 2, ....
Also ask: which integers satisfy x < -2/3? Answers: -5, -4, -3, -2, -1
Notice that the only integer that is found in both sets of possibilities is -1. So, only one integer x satisfies the given inequality.
