SOLUTION: How do I solve and graph 3k < 2k < k - 4? This is under Compound Inequalities, and I'm confused on what to do!

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Question 884687: How do I solve and graph 3k < 2k < k - 4? This is under Compound Inequalities, and I'm confused on what to do!
Answer by josgarithmetic(39618) About Me  (Show Source):
You can put this solution on YOUR website!
Split it into two parts.

3k%3C2k allows you to divide both sides by k and you have a false statement:
3%3C2; so you must expect that k%3C0. k can be any value as long as it is NEGATIVE.

The other part is 2k%3Ck-4,
2k-k%3Ck-4-k
k%3Ck-k-4
k%3C-4.

The compound inequality must have the parts of the solutions which are true for both parts. The parts of their solutions in common is highlight%28k%3C-4%29.