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, or equal to the other.

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 'less than or equal to'.

Front

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

Back

Subtract 30 from both sides to get n ≥ 20.

Front

What is the solution to the inequality 4(y + 4) ≤ 16?

Back

Divide both sides by 4, then subtract 4 to find y ≤ 0.

Front

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

Back

Subtract 14 from both sides, then divide by -4 to find x ≥ -10.

Front

How do you solve the inequality 5z - 2z - 2 < 13?

Back

Combine like terms to get 3z - 2 < 13, then add 2 and divide by 3 to find z < 5.

Front

What does it mean if an inequality has no solution?

Back

It means that there are no values that can satisfy the inequality.

Front

What is the difference between strict and non-strict inequalities?

Back

Strict inequalities use '>' or '<', while non-strict inequalities use '≥' or '≤'.

Front

How do you graph the inequality x < 24?

Back

Draw a number line, place an open circle at 24, and shade to the left.