Inequality flip rule

Front

What is the inequality flip rule?

Back

The inequality flip rule states that when you multiply or divide both sides of an inequality by a negative number, you must flip the inequality sign.

Front

If -3x < 9, what is the correct solution after applying the flip rule?

Back

x > -3, because when dividing by -3, the inequality sign flips.

Front

Does the inequality sign flip when you add or subtract a number from both sides?

Back

No, the inequality sign does not flip when adding or subtracting.

Front

What happens to the inequality sign when multiplying both sides by a negative number?

Back

The inequality sign flips.

Front

If 2x < 20, what is the solution for x?

Back

x < 10, because you divide both sides by 2 without flipping the sign.

Front

If -12y < -24, what is the solution for y?

Back

y > 2, because dividing by -12 flips the inequality sign.

Front

In the inequality 29 < 5 + -3k, does the inequality sign flip?

Back

Yes, when isolating k, the sign flips.

Front

Is the statement 'You always flip when adding or subtracting' true or false?

Back

False, you only flip when multiplying or dividing by a negative number.

Front

What is the result of solving the inequality -5x > 15?

Back

x < -3, because dividing by -5 flips the inequality.

Front

If x + 5 < 10, what is the solution for x?

Back

x < 5, no flip is needed.