Solving Inequalities

Front

What is an inequality?

Back

An inequality is a mathematical statement that compares two expressions and shows that one is greater than, less than, greater than or equal to, or less than or equal to the other.

Front

What does the symbol '≥' mean?

Back

'≥' means 'greater than or equal to'. It indicates that the value on the left is either greater than or equal to the value on the right.

Front

What does the symbol '≤' mean?

Back

'≤' means 'less than or equal to'. It indicates that the value on the left is either less than or equal to the value on the right.

Front

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

Back

Subtract 30 from both sides to get n ≥ 20.

Front

Is x = 12 a solution to the inequality x > 5?

Back

Yes, because 12 is greater than 5.

Front

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

Back

Add 3 to both sides to get x ≤ 13.

Front

When graphing the inequality y + 8 ≥ 9, what is the solution for y?

Back

Subtract 8 from both sides to get y ≥ 1.

Front

What type of dot is used when graphing the inequality x ≤ 5?

Back

A closed dot is used because the inequality includes 'less than or equal to'.

Front

What is the solution to the inequality x + 4 < 10?

Back

Subtract 4 from both sides to get x < 6.

Front

How do you represent the solution x > 3 on a number line?

Back

Draw an open dot at 3 and shade to the right.