Solve Multiplication Inequalities Quick Check
To solve a multiplication inequality, follow these steps:
1. Identify the inequality sign. Is it < (less than), > (greater than), ≤ (less than or equal to), or ≥ (greater than or equal to)?
2. Solve the inequality as you would solve a regular equation, but be careful with the sign.
- If the sign is < or >, use the same steps as solving a regular equation. Remember to reverse the sign if you multiply or divide by a negative number.
- If the sign is ≤ or ≥, use the same steps as solving a regular equation, but include the number itself when checking the solution.
3. Express the solution in interval notation if necessary.
For example, if we have the inequality 3x < 12, we can solve it as follows:
Step 1: Identify the inequality sign as <.
Step 2: Divide both sides of the inequality by 3 to isolate x:
(3x)/3 < 12/3
x < 4
Step 3: The solution is x < 4.