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 the symbol '>' represent in inequalities?

Back

The symbol '>' means 'greater than' in inequalities.

Tags

CCSS.6.EE.B.8

Front

What does the symbol '<' represent in inequalities?

Back

The symbol '<' means 'less than' in inequalities.

Tags

CCSS.6.EE.B.8

Front

What does the symbol '≥' represent in inequalities?

Back

The symbol '≥' means 'greater than or equal to' in inequalities.

Tags

CCSS.6.EE.B.8

Front

What does the symbol '≤' represent in inequalities?

Back

The symbol '≤' means 'less than or equal to' in inequalities.

Tags

CCSS.6.EE.B.8

Front

How do you graph the inequality x > 21 on a number line?

Back

To graph x > 21, draw an open circle at 21 and shade to the right, indicating all numbers greater than 21.

Tags

CCSS.6.EE.B.8

Front

How do you graph the inequality x < 21 on a number line?

Back

To graph x < 21, draw an open circle at 21 and shade to the left, indicating all numbers less than 21.

Tags

CCSS.6.EE.B.8

Front

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

Back

Strict inequalities (>, <) do not include the boundary value, while non-strict inequalities (≥, ≤) do include the boundary value.

Tags

CCSS.6.EE.B.8

Front

Provide an example of a real-world situation that can be modeled with an inequality.

Back

A real-world situation could be: 'A person must save at least $500 to buy a new bike,' which can be represented as x ≥ 500.

Tags

CCSS.6.EE.B.8

Front

What is the solution set of the inequality x < 10?

Back

The solution set of the inequality x < 10 includes all real numbers less than 10.