Writing, Graphing, and 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 in inequalities?

Back

The symbol '>' means 'greater than'. For example, x > 5 means x is greater than 5.

Front

What does the symbol '<' mean in inequalities?

Back

The symbol '<' means 'less than'. For example, x < 3 means x is less than 3.

Front

What does the symbol '≥' mean in inequalities?

Back

The symbol '≥' means 'greater than or equal to'. For example, x ≥ 4 means x is greater than or equal to 4.

Front

What does the symbol '≤' mean in inequalities?

Back

The symbol '≤' means 'less than or equal to'. For example, x ≤ 2 means x is less than or equal to 2.

Front

How do you solve the inequality -9a - 1 < 26?

Back

Add 1 to both sides: -9a < 27. Then divide by -9 (remember to flip the inequality): a > -3.

Front

What is the first step to solve the equation 4x - 5 = 15?

Back

Add 5 to both sides: 4x = 20.

Front

How do you isolate x in the equation 4x = 20?

Back

Divide both sides by 4: x = 5.

Front

If you have $50 and want to save at least $250, how much more do you need?

Back

You need at least $200 more.

Front

If babysitting earns $15 per hour, how many hours do you need to babysit to save $200?

Back

You need to babysit for at least 14 hours.