solve multipcation inequalities quick check

Answer 1

To solve multiplication inequalities, follow these steps:
1. Simplify both sides of the inequality if necessary.
2. If you multiply or divide both sides by a negative number, reverse the inequality sign.
3. Solve the inequality as you would a regular equation by isolating the variable on one side.
4. Check your solution by substituting it back into the original inequality.

Example: Solve the inequality 3x > 12.

1. No simplification is needed.
2. We do not need to multiply or divide by a negative number.
3. Divide both sides of the inequality by 3 to isolate x: 3x/3 > 12/3, which simplifies to x > 4.
4. Check the solution: Let's substitute x = 4 into the original inequality: 3(4) > 12, which simplifies to 12 > 12. This is not true, so x = 4 is not a solution.

So, the solution to the inequality 3x > 12 is x > 4.