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

How do you solve the inequality x + 5 < 10?

Back

Subtract 5 from both sides: x < 5.

Front

What is the solution to the inequality 2x - 3 ≥ 7?

Back

Add 3 to both sides: 2x ≥ 10. Then divide by 2: x ≥ 5.

Front

What does the number line graph represent if it has a closed circle at 3 and an arrow to the right?

Back

It represents the inequality x ≥ 3.

Front

What does the number line graph represent if it has an open circle at -4 and an arrow to the left?

Back

It represents the inequality x < -4.

Front

How do you graph the inequality x > 2?

Back

Draw an open circle at 2 and shade to the right.

Front

What is the solution to the inequality -3x ≤ 9?

Back

Divide by -3 (remember to flip the inequality): x ≥ -3.

Front

What does the inequality x + 4 < 2 represent?

Back

Subtract 4 from both sides: x < -2.