2.1 Writing and Graphing 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 ≤ 10 means x is less than or equal to 10.

Front

How do you represent 'no more than 24 grams of sugar' in inequality form?

Back

x ≤ 24, where x represents the grams of sugar.

Front

What is the difference between an open dot and a closed dot on a number line when graphing inequalities?

Back

An open dot indicates that the number is not included (for < or >), while a closed dot indicates that the number is included (for ≤ or ≥).

Front

How would you graph the inequality x > 2?

Back

You would place an open dot at 2 and shade to the right, indicating all numbers greater than 2.

Front

How would you graph the inequality x ≤ 5?

Back

You would place a closed dot at 5 and shade to the left, indicating all numbers less than or equal to 5.

Front

What is the solution set for the inequality 3x < 12?

Back

The solution set is x < 4, meaning x can be any number less than 4.