Two-Step Inequalities (Guided Practice)

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

How do you represent an inequality?

Back

An inequality is represented using symbols such as < (less than), > (greater than), ≤ (less than or equal to), and ≥ (greater than or equal to).

Front

What does the symbol '≤' mean?

Back

The symbol '≤' means 'less than or equal to'. It indicates that the value can be either less than or exactly equal to another value.

Front

What does the symbol '≥' mean?

Back

The symbol '≥' means 'greater than or equal to'. It indicates that the value can be either greater than or exactly equal to another value.

Front

Solve: 2x + 3 < 11

Back

x < 4

Front

What is the first step to solve the inequality 2x + 3 < 11?

Back

Subtract 3 from both sides.

Front

Solve: 5x - 2 ≥ 3

Back

x ≥ 1

Front

What is the next step after subtracting 2 in the inequality 5x - 2 ≥ 3?

Back

Divide by 5.

Front

If x + 4 > 10, what is the solution?

Back

x > 6

Front

What is the first step to solve the inequality x + 4 > 10?

Back

Subtract 4 from both sides.