What are the provided answers to the question about solving inequalities using multiplication and division?
When solving inequalities using multiplication and division, the provided answers typically depend on the specific inequality being solved. There are several types of inequality solutions that you may encounter, including:
1. Solution in interval notation: In interval notation, the solution is represented as a range of values. For example, the solution to the inequality 2x < 10 would be written as (-∞, 5) in interval notation.
2. Solution in inequality format: In this format, the solution is expressed using the symbols < (less than), > (greater than), ≤ (less than or equal to), or ≥ (greater than or equal to). For example, the solution to the inequality 3x + 2 ≥ 8 is x ≥ 2.
3. Graphical solution: In some cases, the solution is represented graphically on a number line. The shaded region on the number line indicates the values that satisfy the inequality.
To find the solution to an inequality using multiplication or division, follow these steps:
1. Isolate the variable on one side of the inequality by applying the inverse operation (opposite operation) to both sides of the inequality.
2. If you multiply or divide both sides by a negative number, reverse the inequality sign.
3. Simplify the resulting expression.
4. Represent the solution using interval notation, inequality format, or a graphical representation as needed.
It is important to note that these are general guidelines, and the specific answer format may vary depending on the context and problem given.