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Here is a suggestion:
1. Read the problem 3 times.
2. Draw a picture if you can.
3. Define a variable, preferably the quantity you are trying to find. {eg "Let x cm be the length of the rectangle."
4. Write down any formulas related to the problem, and define other quantities in terms of x. {eg A=lw, w=l-4
5. Write an equation involving the expressions from steps 3 and 4.
6. Solve the equation. {eg x=7
7. Answer the question in words. {eg "The length of the rectangle is 7cm."
8. Check your answer in the words of the question (not in the equation you wrote in step 5).
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When solving a linear inequality do you always need to solve for y?
not always,sometimes you have to solve for x
How useful are sets?
Any complex problem can always be made easier to understand, analyze, and thus solve when it is laid out in visual form. Sets help us visualize the issue/problem and put the various data at their proper places. Sets thus help isolate each facet of the problem and can facilitate solving the problem one intersection at a time.
How do you know if your solving for the leg or the hypotenuse?
The hypotenuse will always be longer than the other sides.
What is the actual answer to the problem?
It depends on the problem but the solution is always the answer.
Does neither have to be followed by nor?
It does not always have to be followed by nor. You boys are lucky. Neither of you is seriously hurt. (Neither is singular). You could also say Neither one of you is seriously hurt.
