Calculus/Pre-Calc

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Question
How do you solve this?

2x+3≤5x+6<-3x+7

Answer
Recognize this as two equations.
One of them is 2x+3 ≤ 5x+6 and the other is 5x+6 < -3x+7.

For the 1st, add -2x-6 to both sides.  This gives -3 ≤ 3x.
Dividing both sides by 3 gives -1 ≤ x.

For the 2nd, add 3x-6 to both sides.  This gives 8x < 1, or x < 1/8, which is 0.125.

The answer is then -1 ≤ x < 0.125.

Calculus

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Any kind of calculus question you want. I also have answered some questions in Physics (mass, momentum, falling bodies), Chemistry (charge, reactions, symbols, molecules), and Biology.

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Experience in the area: I have tutored students in all areas of mathematics for over 25 years. Education/Credentials: BSand MS in Mathematics from Oregon State University, where I completed sophomore course in Physics and Chemistry. I received both degrees with high honors. Awards and Honors: I have passed Actuarial tests 100, 110, and 135.

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