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How is graphing an inequality different from graphing a line on a coordinate plane?
Whereas the procedure for a linear equality is the same, the inequality defines all of the plane on one side (or the other) of the corresponding line.
What does it mean to describe all of the numbers that satisfy both inequalities?
I assume you have inequalities that involve variables. If you replace the variable by some number, you will get an inequality that is either true or false. A value for the variable that results in a true statement is said to "satisfy" the inequality. For example, in: x + 3 > 10 If you replace x by 8, you get a true statement, since 11 is greater than 10; if you replace x by 7, you get a false statement, since 10 is not greater than 10. In this case, there are two inequalities; you have to find all numbers that satisfy both inequalities; in other words, that convert both inequalities into true statements.
What is the situation when two linear inequalities have no solution?
The answer for one inequality will NOT anwer the other. For example, you can not be younger and oilder than your brother at the same time.
How do you use Distributive Property in math?
The distributive property is when you take you number is share it with all the other numbers in the parenthesis. An example is x(2 + 3) = 2x + 3X.
How is eleven squared different from parenthesis eleven squared?
Please Excuse My Dear Aunt Sally... PEMDAS P = parenthesis E = Exponent M = Multiply D = Divide A = Add S = Subtract In other words, order of operation as it is know in mathematics. So coming full circle to your question, parenthesis are typically reserved in equations force a portion of a calcuation to be completed before another, i.e. 1+2*3=7, while (1+2)*3=9. In the second equation, parenthesis are inserted to make sure the addtion is completed prior to the multipication. However, in the question you pose the answer would be the same. (11)^x = 11^x All that said, if the parenthesis in question in in a line of software code, most programs will only connect the term immediately before the carrot "^" as being raised to the power. So a program would read 11^x as 1*1^x instead of (11)^x, thus the need for the parenthesis.
