Inequalities Review

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

The symbol '>' means 'greater than'. For example, 5 > 3 means 5 is greater than 3.

Front

What does the symbol '<' mean?

Back

The symbol '<' means 'less than'. For example, 2 < 4 means 2 is less than 4.

Front

What does the symbol '≥' mean?

Back

The symbol '≥' means 'greater than or equal to'. For example, x ≥ 5 means x is greater than or equal to 5.

Front

What does the symbol '≤' mean?

Back

The symbol '≤' means 'less than or equal to'. For example, y ≤ 10 means y is less than or equal to 10.

Front

How do you solve the inequality 6 - 2h > 30?

Back

To solve, subtract 6 from both sides: -2h > 24. Then divide by -2 (remember to flip the inequality): h < -12.

Front

How do you solve the inequality 10 ≥ x - 3?

Back

To solve, add 3 to both sides: 13 ≥ x, which can be rewritten as x ≤ 13.

Front

If a large cheese pizza costs $22 and toppings are $0.65 each, how many toppings can Ben and his friends get if they can spend at most $26?

Back

They can get 6 toppings. ($26 - $22) / $0.65 = 6.

Front

If Olivia buys a coffee for $3 and soaps for $4 each, how many bars of soap can she buy with $30?

Back

Olivia can buy 6 bars of soap. ($30 - $3) / $4 = 6.

Front

What is the solution to the inequality 8x ≥ -32?

Back

The solution is x ≥ -4. Divide both sides by 8.