)Simplifying fractions in this context refers to reducing the given expression to its simplest form, where the numerator and denominator are relatively prime (have no common factors).
The inequality sign "<" means "less than," indicating that the expression on the left side is smaller than the expression on the right side.
To solve this expression, we can use the concept of multiplying and solving inequalities. We first multiply the terms in the parentheses, and then we determine the values of x that make the expression less than 0. These values will form an interval on the number line, which will be the solution set for the inequality.
Yes, for example, if we have the expression (x+4)(x-2)(x+1) < 0, we can multiply the terms to get x^3 + 3x^2 - 10x - 8 < 0. Then, we can factor this polynomial to get (x+4)(x+1)(x-2) < 0. The solutions for this inequality are x < -4, -1 < x < 2.
Yes, since we are dealing with fractions, the values of x should not result in a denominator of 0. Therefore, we must exclude any values of x that would make the expressions (3-x), (x+2), or (2x+9) equal to 0.