Solving 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

'>' means 'greater than'. For example, x > 5 means x is any number greater than 5.

Front

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

Back

'<'' means 'less than'. For example, x < 3 means x is any number less than 3.

Front

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

Back

'≥' means 'greater than or equal to'. For example, x ≥ 4 means x is any number greater than or equal to 4.

Front

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

Back

'≤' means 'less than or equal to'. For example, x ≤ 7 means x is any number less than or equal to 7.

Front

How do you solve the inequality x + 5 < 12?

Back

Subtract 5 from both sides: x < 7.

Front

Is x = 9 a solution to the inequality x > 9?

Back

FALSE, because 9 is not greater than 9.

Front

How do you graph the inequality x ≤ 3?

Back

Draw a number line, put a closed circle on 3, and shade to the left.

Front

What is the solution to the inequality 10 ≥ x - 3?

Back

x ≤ 13.

Front

How do you solve the inequality 30 + n ≥ 50?

Back

Subtract 30 from both sides: n ≥ 20.