Inequality "flip"

Front

What is an inequality?

Back

An inequality is a mathematical statement that compares two expressions and shows that one is greater than, less than, greater than or equal to, or less than or equal to the other.

Front

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

Back

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

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

Does the inequality sign flip when adding or subtracting a number?

Back

No, the inequality sign does not flip when adding or subtracting a number from both sides.

Front

What is the inequality sign for 'less than'?

Back

The inequality sign for 'less than' is '<'.

Front

What is the inequality sign for 'greater than'?

Back

The inequality sign for 'greater than' is '>'.

Front

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

Back

The inequality sign for 'less than or equal to' is '≤'.

Front

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

Back

The inequality sign for 'greater than or equal to' is '≥'.

Front

In the inequality 3x - 7 < -22, does the sign flip when solving for x?

Back

No, the sign does not flip because we are adding 7 to both sides.

Front

In the inequality -5x + 12 > 35, does the sign flip when solving for x?

Back

Yes, the sign flips when we subtract 12 from both sides and then divide by -5.