Solving Inequalities

Front

What is an inequality?

Back

An inequality is a mathematical statement that compares two expressions using inequality symbols (>, <, ≥, ≤) to show that one expression is greater than, less than, or equal to another.

Front

What does the symbol '≥' mean?

Back

The symbol '≥' means 'greater than or equal to'. It indicates that a value can be either greater than or equal to a specified number.

Front

What does the symbol '≤' mean?

Back

The symbol '≤' means 'less than or equal to'. It indicates that a value can be either less than or equal to a specified number.

Front

When solving an inequality, what happens to the inequality sign when you multiply or divide by a negative number?

Back

The inequality sign flips when you multiply or divide both sides of an inequality by a negative number.

Front

Solve the inequality: -2x ≥ 22. What is x?

Back

x ≤ -11.

Front

If 30 members of a choir have raised $600 and need at least $1,500, what inequality represents how much more they need to raise?

Back

30x + 600 ≥ 1,500.

Front

Solve the inequality: x - 4 > 5. What is x?

Back

x > 9.

Front

What inequality does the number line graph with a closed circle at 3 represent?

Back

x ≥ 3.

Front

What inequality does the number line graph with an open circle at 4 represent?

Back

x < 4.

Front

What is the solution set for the inequality x < -3?

Back

The solution set includes all numbers less than -3.