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Question
Solve the inequality. Graph the solution on a number line.

y+7 < 2y+2 < 0




I keep trying and I cant seem to get a good answer. plz help asap! thank you!

Answer
Solve y + 7 < 2y + 2 and 2y + 2 < 0, then take the intersection of the two.

For the 1st inequality, subtracting off y from both sides turns y + 7 < 2y + 2 into 7 < y + 2.
Subtracting 2 from both sides makes it 5 < y.  This is the same as y > 5.

For the 2nd inequality, subtracting 2 from both sides gives 2y < -2.
Dividing by 2 gives y < -1.

Since we need y to be both less than -1 and greater than 5, there is no solution to this problem.

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Scott A Wilson

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