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 ≥ 10 means x is greater than or equal to 10.

Front

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

Back

The symbol '≤' means 'less than or equal to'. For example, x ≤ 20 means x is less than or equal to 20.

Front

How do you graph the inequality x < -1.1?

Back

To graph x < -1.1, draw a number line, place an open circle at -1.1, and shade to the left.

Front

How do you graph the inequality p ≥ 1.5?

Back

To graph p ≥ 1.5, draw a number line, place a closed circle at 1.5, and shade to the right.

Front

What is a solution to the inequality s ≤ 35?

Back

Any number less than or equal to 35 is a solution, such as 30 or 35.

Front

Which of the following is NOT a solution to the inequality s ≤ 35? 25, 35, 42, 30

Back

42 is NOT a solution because it is greater than 35.

Front

How do you express 'more than 250' in inequality form?

Back

'More than 250' is expressed as c > 250.