What does "c ≠ 0" mean? I've heard the "≠" sign means "does not equal." Does this mean that c ≠ 0 means that "(variable) does not equal zero"? What is it's usage?

yes, it means "not equal"

suppose you had
y = 4/(x-5) and you wanted the domain of the function

that is, what values of x could I use ??

Well, we could use any real number for x, except 5

and we would write it as:
x = any real number, x ≠ 5

Yes, you are correct. The symbol "≠" means "does not equal." So, when you see the expression "c ≠ 0," it means that the value of the variable "c" is not equal to zero. This notation is commonly used in mathematics and is used to express inequality. In this case, it indicates that the value of "c" can be any number except zero.

Yes, you are correct. The symbol "≠" is used to represent "does not equal." When we say "c ≠ 0," it means that the variable "c" is not equal to zero.

This notation is commonly used in mathematics and logic to indicate an inequality. It states that the value of "c" is not equivalent to zero. In other words, any value that "c" can take on (except zero) will satisfy this inequality.

For example, if we have an equation like "3c + 5 ≠ 0," it means that any value of "c" that does not make the equation equal to zero will satisfy this inequality. So, if we solve this equation for "c," we would find all the values of "c" that make the equation true.

Remember, when dealing with inequalities, we always have multiple possible solutions or valid values, unlike equations where there is typically one specific solution.