Multiply and divide inequalities with negative numbers

Front

What happens to the inequality sign when you multiply or divide both sides by a negative number?

Back

The inequality sign flips.

Front

Solve the inequality: -3x > 9. What is the solution?

Back

x < -3.

Front

If -5m < 10, what is the value of m?

Back

m > -2.

Front

What is the solution to the inequality: 8y < -40?

Back

y < -5.

Front

When solving the inequality -8x < 48, what is the first step?

Back

Divide both sides by -8 and flip the inequality sign.

Front

What is the solution to the inequality: x ≤ 14/3?

Back

x is less than or equal to 14/3.

Front

Does the sign need to flip when solving the inequality 8y < -40?

Back

No, because you are dividing by a positive number.

Front

What is the general rule for solving inequalities involving negative numbers?

Back

When multiplying or dividing by a negative number, flip the inequality sign.

Front

How do you express the solution to the inequality -2x + 4 > 0?

Back

x < 2.

Front

What is the solution to the inequality: 4x - 8 ≤ 0?

Back

x ≤ 2.