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

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

Back

The symbol '≥' means 'greater than or equal to'.

Front

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

Back

The symbol '≤' means 'less than or equal to'.

Front

How do you solve the inequality 10 - 3x < 16?

Back

Subtract 10 from both sides: -3x < 6. Then divide by -3 (remember to flip the inequality): x > -2.

Front

What is the solution to the inequality 28 + 2x > 50?

Back

Subtract 28 from both sides: 2x > 22. Then divide by 2: x > 11.

Front

When graphing the inequality x > 5, what type of circle is used?

Back

An open circle is used for x > 5.

Front

When graphing the inequality x < 3, what type of circle is used?

Back

A closed circle is used for x < 3.

Front

What is the first step in solving the inequality 2x + 3 < 7?

Back

Subtract 3 from both sides: 2x < 4.