Question

Solve Multiplication Inequalities Quick Check

Answer 1

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.