Mastering Two Step Inequalities

What is the key difference between solving two-step equations and two-step inequalities?

• The use of inequality symbols

• The presence of variables

• The need for addition

• The use of multiplication

What must you do to the inequality symbol when you multiply or divide by a negative number?

• Leave it unchanged

• Flip it

• Remove it

• Double it

In the first example, what is the first step to solve the inequality 2x + 1 ≥ 10?

• Divide both sides by 2

• Multiply both sides by 2

• Subtract 1 from both sides

• Add 1 to both sides

After subtracting 1 from both sides in the first example, what is the resulting inequality?

• 2x ≥ 9

• 2x ≤ 9

• x ≤ 9

• x ≥ 9

In the second example, what operation is performed after subtracting 4 from both sides?

• Dividing by -3

• Multiplying by 3

• Adding 3

• Subtracting 3

What happens to the inequality symbol when you divide by a negative number in the second example?

• It is flipped

• It is removed

• It is doubled

• It stays the same

What is the final solution for the inequality in the second example?

• x > -3

• x < -3

• x ≥ -3

• x ≤ -3

In the third example, what is the first step to solve the inequality x/2 - 8 ≤ 3?

• Add 8 to both sides

• Subtract 8 from both sides

• Multiply both sides by 2

• Divide both sides by 2

After adding 8 to both sides in the third example, what is the resulting inequality?

• x ≤ 11

• x ≥ 11

• x/2 ≥ 11

• x/2 ≤ 11

What is the final solution for the inequality in the third example?

• x > 22

• x < 22

• x ≥ 22

• x ≤ 22