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hi could you help me with these problems please ?

Hello I was hoping you could please explain the difference between enthalpy and heat. They seem to be the exact same thing in the math but the book is saying they are distinct. Thank you

hello I am hoping you can help with a problem I have. this problem is number 7 and asks the following: x - 2 / x + 1 > 0 I did + 2 on both sides so x / x+1 > 2 but im not sure to what do nex thank you