Inequality "flip"

Front

What is an inequality?

Back

An inequality is a mathematical statement that compares two expressions using inequality signs such as >, <, ≥, or ≤.

Front

What does it mean to 'flip' an inequality sign?

Back

Flipping an inequality sign means changing its direction, which occurs when both sides of the inequality are multiplied or divided by a negative number.

Front

When does the inequality sign NOT flip?

Back

The inequality sign does not flip when both sides of the inequality are added or subtracted by the same number, or when both sides are multiplied or divided by a positive number.

Front

When does the inequality sign flip?

Back

The inequality sign flips when both sides of the inequality are multiplied or divided by a negative number.

Front

Example: Does the inequality sign flip in 25 > 6x - 22?

Back

No, the sign does not flip because we are not multiplying or dividing by a negative number.

Front

Example: Does the inequality sign flip in -5x + 12 > 35?

Back

Yes, the sign flips if we multiply or divide by a negative number.

Front

Example: Does the inequality sign flip in 3x - 7 < -22?

Back

No, the sign does not flip in this case.

Front

Example: Does the inequality sign flip in 29 < 5 + -3k?

Back

Yes, the sign flips when we isolate the variable and multiply by a negative.

Front

Example: Does the inequality sign flip in -8y - 9 < 55?

Back

Yes, the sign flips when isolating the variable.

Front

What is the inequality sign for 'greater than or equal to'?

Back

The sign is ≥.