Solving Inequalities

Front

What is an inequality?

Back

An inequality is a mathematical statement that compares two expressions using inequality symbols such as <, >, ≤, or ≥.

Front

What does the symbol '≥' mean?

Back

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

Front

What does the symbol '>' mean?

Back

The symbol '>' means 'greater than'.

Front

How do you solve the inequality 15 + 7x ≥ 29?

Back

Subtract 15 from both sides to get 7x ≥ 14, then divide by 7 to find x ≥ 2.

Front

When graphing the inequality x > 2, what type of circle is used?

Back

An open circle is used when graphing x > 2.

Front

When graphing the inequality x ≥ 2, what type of circle is used?

Back

A closed circle is used when graphing x ≥ 2.

Front

Does the inequality sign flip when multiplying or dividing by a negative number?

Back

Yes, the inequality sign flips when multiplying or dividing both sides by a negative number.

Front

Solve the inequality 8y < -40. What is y?

Back

y < -5.

Front

What is the solution to the inequality 3 < -5n + 2n?

Back

n < -1.

Front

How do you solve the inequality 2x + 3 < 11?

Back

Subtract 3 from both sides to get 2x < 8, then divide by 2 to find x < 4.