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

The symbol '>' means 'greater than'.

Front

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

Back

The symbol '<' means 'less than'.

Front

How do you solve the inequality 9x - 3 > 6?

Back

Add 3 to both sides: 9x > 9. Then divide by 9: x > 1.

Front

What does the solution x > 1 represent on a number line?

Back

It represents all numbers greater than 1, starting from just above 1 and extending to the right.

Front

What is the solution to the inequality 7n - 1 > 76?

Back

Add 1 to both sides: 7n > 77. Then divide by 7: n > 11.

Front

How do you graph the inequality x < 4?

Back

Draw a number line, place an open dot at 4, and shade to the left.

Front

What does an open dot represent when graphing inequalities?

Back

An open dot represents that the number is not included in the solution (e.g., x < 4).

Front

What does a closed dot represent when graphing inequalities?

Back

A closed dot represents that the number is included in the solution (e.g., x ≤ 4).

Front

How do you solve the inequality 14 ≥ x - 8?

Back

Add 8 to both sides: 22 ≥ x.