Solving 2-Step Inequalities

Front

What is a 2-step inequality?

Back

A 2-step inequality is an inequality that requires two operations to isolate the variable, typically involving addition or subtraction followed by multiplication or division.

Front

What does the symbol '>' mean in inequalities?

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 inequalities?

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 inequalities?

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 inequalities?

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 16 - 4a > 8?

Back

Subtract 16 from both sides: -4a > -8. Then divide by -4 (remember to flip the inequality): a < 2.

Front

How do you solve the inequality u/7 - 1 ≤ 1?

Back

Add 1 to both sides: u/7 ≤ 2. Then multiply by 7: u ≤ 14.

Front

How do you solve the inequality 2k - 9 ≤ -19?

Back

Add 9 to both sides: 2k ≤ -10. Then divide by 2: k ≤ -5.

Front

What is the opposite of addition?

Back

Subtraction.

Front

What is the opposite of multiplication?

Back

Division.