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, greater than or equal to, or less than or equal to the other.

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 s - 10 ≤ 1?

Back

Add 10 to both sides to get s ≤ 11.

Front

What does the inequality x < -4 represent on a number line?

Back

It represents all numbers less than -4, with an open circle at -4.

Front

How do you solve the inequality -5m < 10?

Back

Divide both sides by -5 (remember to flip the inequality) to get m > -2.

Front

What is the solution to the inequality 6x > 12?

Back

Divide both sides by 6 to get x > 2.

Front

What does the inequality x ≥ 3 represent on a number line?

Back

It represents all numbers greater than or equal to 3, with a closed circle at 3.

Front

What is the first step in solving the inequality 2x + 3 < 11?

Back

Subtract 3 from both sides to get 2x < 8.

Front

How do you graph the inequality x > 4?

Back

Draw a number line, place an open circle at 4, and shade to the right.