To Flip or Not to Flip (Inequalities)

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.

Tags

CCSS.6.EE.B.8

Front

What does it mean to 'flip' an inequality?

Back

Flipping an inequality means to reverse the direction of the inequality sign. This typically occurs when both sides of the inequality are multiplied or divided by a negative number.

Tags

CCSS.6.EE.B.8

Front

When do you keep the inequality sign the same?

Back

You keep the inequality sign the same when you add or subtract the same number from both sides or when you multiply or divide by a positive number.

Tags

CCSS.6.EE.B.8

Front

What is the significance of the direction of the inequality sign?

Back

The direction of the inequality sign indicates the relationship between the two expressions, showing which is greater or lesser.

Front

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

Back

When you multiply both sides of an inequality by a negative number, you must flip the inequality sign.

Tags

CCSS.6.EE.B.8

Front

What is the difference between strict and non-strict inequalities?

Back

Strict inequalities use 'greater than' (>) or 'less than' (<), while non-strict inequalities use 'greater than or equal to' (≥) or 'less than or equal to' (≤).

Front

How do you solve a linear inequality?

Back

To solve a linear inequality, isolate the variable on one side using inverse operations, while remembering to flip the inequality sign if you multiply or divide by a negative number.

Tags

CCSS.6.EE.B.8

Front

What is a compound inequality?

Back

A compound inequality is an inequality that combines two or more inequalities, often connected by 'and' or 'or'.

Front

What does it mean for a solution to be 'valid' in the context of inequalities?

Back

A valid solution satisfies the inequality, meaning it makes the inequality true when substituted back into the original expression.

Front

How can you graph an inequality on a number line?

Back

To graph an inequality on a number line, use an open circle for strict inequalities and a closed circle for non-strict inequalities, then shade the appropriate region.

Tags

CCSS.6.EE.B.8