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?

Back

The symbol '≤' means 'less than or equal to'.

Front

What does the symbol '≥' mean?

Back

The symbol '≥' means 'greater than or equal to'.

Front

How do you solve the inequality 4x - 10 ≤ 22?

Back

Add 10 to both sides: 4x ≤ 32. Then divide by 4: x ≤ 8.

Front

What is the first step to solve the inequality 3 + 6x < 15?

Back

Subtract 3 from both sides: 6x < 12.

Front

What is the solution to the inequality 15 + 7x ≥ 29?

Back

Subtract 15 from both sides: 7x ≥ 14. Then divide by 7: x ≥ 2.

Front

What does it mean if x < 3?

Back

It means that the value of x is less than 3.

Front

What does it mean if x ≥ 2?

Back

It means that the value of x is greater than or equal to 2.

Front

How do you graph the inequality x < 2 on a number line?

Back

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

Front

How do you graph the inequality x ≥ 3 on a number line?

Back

Draw a closed circle at 3 and shade to the right.