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 in an inequality?

Back

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

Front

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

Back

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

Front

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

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 an inequality?

Back

The symbol '≤' means 'less than or equal to'. For example, x ≤ 7 means x is less than or equal to 7.

Front

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

Back

Subtract 6 from both sides to get 2h > 24, then divide by 2 to find h > 12.

Front

What is the solution to the inequality -4x + 14 ≤ 54?

Back

Subtract 14 from both sides to get -4x ≤ 40, then divide by -4 (remember to flip the inequality) to find x ≥ -10.

Front

When graphing an inequality, what does an open dot represent?

Back

An open dot represents that the number is not included in the solution set, used for < or >.

Front

When graphing an inequality, what does a closed dot represent?

Back

A closed dot represents that the number is included in the solution set, used for ≤ or ≥.

Front

What is the solution to the inequality 4x + 1 > 13?

Back

Subtract 1 from both sides to get 4x > 12, then divide by 4 to find x > 3.