Solving Inequalities with Multiplication and Division

What is the correct solution to the inequality -6x > 24?

• x < 4

• x < -4

• x > -4

• x > 4

Why does the inequality symbol flip when dividing by a negative number?

• Because the values become positive

• Because the direction of the inequality changes

• Because the variable is isolated

• Because the values become negative

If Gina's pig can have no more than 18 ounces of food per day, and each scoop is 4 ounces, how many scoops can she feed the pig?

• 5 scoops

• 3.5 scoops

• 4.5 scoops

• 4 scoops

What is the solution to the inequality d/7 > 15?

• d > 15

• d > 105

• d < 15

• d < 105

What happens to the inequality symbol when you divide both sides of an inequality by a negative number?

• It disappears

• It stays the same

• It flips

• It becomes an equal sign

Solve the inequality -3.4m ≤ 17. What is the value of m?

• m ≤ -5

• m ≥ 5

• m ≥ -5

• m ≤ 5

What is the solution to the inequality k / -0.5 < 6?

• k < 3

• k > -3

• k < -3

• k > 3

When solving the inequality -5/4h ≥ 25, what is the correct solution for h?

• h ≥ 20

• h ≤ 20

• h ≥ -20

• h ≤ -20

What is the key rule to remember when solving inequalities involving multiplication or division by negative numbers?

• Always add the same number to both sides

• Always subtract the same number from both sides

• Always flip the inequality symbol

• Always keep the inequality symbol the same

What is the next topic to be covered in the following lesson?

• Solving equations with addition

• Solving equations with subtraction

• Solving two-step inequalities

• Solving one-step inequalities