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'. For example, x > 2 means x is greater than 2.

Tags

CCSS.6.EE.B.8

Front

What does the symbol '<' represent in inequalities?

Back

The symbol '<' means 'less than'. For example, x < 5 means x is less than 5.

Tags

CCSS.6.EE.B.8

Front

What does the symbol '≥' represent in inequalities?

Back

The symbol '≥' means 'greater than or equal to'. For example, x ≥ 3 means x is greater than or equal to 3.

Tags

CCSS.6.EE.B.8

Front

What does the symbol '≤' represent in inequalities?

Back

The symbol '≤' means 'less than or equal to'. For example, x ≤ 4 means x is less than or equal to 4.

Tags

CCSS.6.EE.B.8

Front

How do you solve the inequality -2x + 7 < 19?

Back

To solve -2x + 7 < 19, subtract 7 from both sides to get -2x < 12, then divide by -2 (remember to flip the inequality) to get x > -6.

Tags

CCSS.7.EE.B.4B

Front

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

Back

To solve 2 - x ≤ -2, subtract 2 from both sides to get -x ≤ -4, then multiply by -1 (flip the inequality) to get x ≥ 4.

Tags

CCSS.6.EE.B.8

Front

How do you graph the inequality x > 2?

Back

To graph x > 2, draw a number line, place an open circle at 2 (indicating 2 is not included), and shade to the right to show all numbers greater than 2.

Tags

CCSS.6.EE.B.8

Front

What is the solution to the inequality 2x + 5 < 3x - 6?

Back

To solve 2x + 5 < 3x - 6, subtract 2x from both sides to get 5 < x - 6, then add 6 to both sides to get x > 11.

Front

How do you write an inequality for Netflix's Plan A and Plan B?

Back

To compare costs, write the inequality: 2n + 10 < 4n + 8, where n is the number of movies viewed.

Tags

CCSS.7.EE.B.4B