6.AF.4 Write and Solve Inequalities

Front

What is an inequality?

Back

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

Front

What does the symbol '>' mean in an inequality?

Back

The symbol '>' means 'greater than'. For example, x > 5 means x is greater than 5.

Front

What does the symbol '<' mean in an inequality?

Back

The symbol '<' means 'less than'. For example, x < 3 means x is less than 3.

Front

What does the symbol '≥' mean in an inequality?

Back

The symbol '≥' means 'greater than or equal to'. For example, x ≥ 4 means x is greater than or equal to 4.

Front

What does the symbol '≤' mean in an inequality?

Back

The symbol '≤' means 'less than or equal to'. For example, x ≤ 7 means x is less than or equal to 7.

Front

How do you graph the inequality c < 9?

Back

To graph c < 9, draw a number line, place an open circle at 9, and shade to the left.

Front

How do you graph the inequality x ≤ 9?

Back

To graph x ≤ 9, draw a number line, place a closed circle at 9, and shade to the left.

Front

What is the solution set for the inequality 6 > x?

Back

The solution set for 6 > x is all numbers less than 6.

Front

How do you solve the inequality 9(2g + 3) = 18g + 27?

Back

Distribute 9 to get 18g + 27, which is an identity and true for all g.

Front

If a person must be no more than 12 years old to order from the kids menu, what inequality represents this?

Back

The inequality is x ≤ 12, where x is the age of the person.