Solving Two-Step Inequalities

Front

What is a two-step inequality?

Back

A two-step inequality is an inequality that requires two operations to isolate the variable. It often involves addition or subtraction followed by multiplication or division.

Front

What does the symbol '>' mean in an inequality?

Back

The symbol '>' means 'greater than'. It indicates that the value on the left is larger than the value on the right.

Front

What does the symbol '<' mean in an inequality?

Back

The symbol '<' means 'less than'. It indicates that the value on the left is smaller than the value on the right.

Front

What does the symbol '≥' mean in an inequality?

Back

The symbol '≥' means 'greater than or equal to'. It indicates that the value on the left is either larger than or equal to the value on the right.

Front

What does the symbol '≤' mean in an inequality?

Back

The symbol '≤' means 'less than or equal to'. It indicates that the value on the left is either smaller than or equal to the value on the right.

Front

How do you solve the inequality 2x + 3 < 11?

Back

Subtract 3 from both sides: 2x < 8. Then divide by 2: x < 4.

Front

How do you graph the inequality x > 5?

Back

Draw a number line, place an open circle on 5, and shade to the right to indicate all numbers greater than 5.

Front

What is the first step to solve the inequality 3m - 4 ≥ 5?

Back

Add 4 to both sides: 3m ≥ 9.

Front

What is the solution to the inequality -2k + 6 < 0?

Back

Subtract 6 from both sides: -2k < -6. Then divide by -2 (remember to flip the inequality): k > 3.

Front

What does it mean to 'flip' the inequality sign?

Back

Flipping the inequality sign occurs when you multiply or divide both sides of an inequality by a negative number.