Inequalities

Front

What is an inequality?

Back

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

Tags

CCSS.6.EE.B.8

Front

What does the symbol '>' represent in inequalities?

Back

The symbol '>' means 'greater than' and indicates that the value on the left is larger than the value on the right.

Tags

CCSS.6.EE.B.8

Front

What does the symbol '<' represent in inequalities?

Back

The symbol '<' means 'less than' and indicates that the value on the left is smaller than the value on the right.

Tags

CCSS.6.EE.B.8

Front

What does the symbol '≥' represent in inequalities?

Back

The symbol '≥' means 'greater than or equal to' and indicates that the value on the left is either larger than or equal to the value on the right.

Tags

CCSS.6.EE.B.8

Front

What does the symbol '≤' represent in inequalities?

Back

The symbol '≤' means 'less than or equal to' and indicates that the value on the left is either smaller than or equal to the value on the right.

Tags

CCSS.6.EE.B.8

Front

How do you solve the inequality 1 + 3r > 10?

Back

Subtract 1 from both sides to get 3r > 9, then divide by 3 to find r > 3.

Tags

CCSS.7.EE.B.4B

Front

How do you solve the inequality -2k > 18?

Back

Divide both sides by -2 (remember to flip the inequality sign) to get k < -9.

Tags

CCSS.6.EE.B.8

Front

What is the solution to the inequality 4x - 2 ≤ -22?

Back

Add 2 to both sides to get 4x ≤ -20, then divide by 4 to find x ≤ -5.

Tags

CCSS.6.EE.B.8

Front

How do you solve the inequality 7b - 3 < 11?

Back

Add 3 to both sides to get 7b < 14, then divide by 7 to find b < 2.

Tags

CCSS.7.EE.B.4B

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