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'.

Tags

CCSS.6.EE.B.8

Front

What does the symbol '<' represent in inequalities?

Back

The symbol '<' means 'less than'.

Tags

CCSS.6.EE.B.8

Front

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

Back

To solve -2k > 18, divide both sides by -2, which reverses the inequality sign, resulting in k < -9.

Tags

CCSS.6.EE.B.8

Front

What is the solution to the inequality m - 5 > 10?

Back

To solve m - 5 > 10, add 5 to both sides to get m > 15.

Tags

CCSS.7.EE.B.4B

Front

How do you solve the inequality -7 + 10z > -27?

Back

To solve -7 + 10z > -27, add 7 to both sides to get 10z > -20, then divide by 10 to find z > -2.

Tags

CCSS.6.EE.B.8

Front

What is the solution to the inequality 7b - 3 < 11?

Back

To solve 7b - 3 < 11, add 3 to both sides to get 7b < 14, then divide by 7 to find b < 2.

Tags

CCSS.7.EE.B.4B

Front

How do you solve the inequality 6 - 2h > 30?

Back

To solve 6 - 2h > 30, subtract 6 from both sides to get -2h > 24, then divide by -2 (reversing the inequality) to find h < -12.

Tags

CCSS.7.EE.B.4B

Front

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

Back

Strict inequalities use '>' or '<' and do not include the boundary value, while non-strict inequalities use '≥' or '≤' and include the boundary value.

Tags

CCSS.6.EE.B.8

Front

What is the graphical representation of an inequality?

Back

The graphical representation of an inequality is shown on a number line, where open circles indicate non-inclusive boundaries and closed circles indicate inclusive boundaries.

Tags

CCSS.6.EE.B.8