Intro To 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?

Back

The symbol '>' means 'greater than'. For example, 5 > 3 means 5 is greater than 3.

Front

What does the symbol '<' mean?

Back

The symbol '<' means 'less than'. For example, 2 < 4 means 2 is less than 4.

Front

What does the symbol '≥' mean?

Back

The symbol '≥' means 'greater than or equal to'. For example, x ≥ 5 means x is greater than or equal to 5.

Front

What does the symbol '≤' mean?

Back

The symbol '≤' means 'less than or equal to'. For example, y ≤ 10 means y is less than or equal to 10.

Front

How do you graph the inequality x < 3?

Back

To graph x < 3, draw a number line, place an open circle at 3, and shade to the left.

Front

How do you graph the inequality x ≥ 2?

Back

To graph x ≥ 2, draw a number line, place a closed circle at 2, and shade to the right.

Front

What is the solution set for the inequality x < 4?

Back

The solution set for x < 4 includes all numbers less than 4.

Front

What is the solution set for the inequality r ≥ -6?

Back

The solution set for r ≥ -6 includes all numbers greater than or equal to -6.

Front

How do you represent the inequality ½ ≤ a on a number line?

Back

To represent ½ ≤ a, draw a number line, place a closed circle at ½, and shade to the right.