SOLVING INEQUALITIES USING MULTIPLICATION OR DIVISION WORKSHEET

Solve the inequality.

1)  4x < 4                   Solution

2)  -2x ≤ 2          Solution

3)  -5x > 15          Solution

4)  x/-3 ≥ 1          Solution

5)  x/-2 > 5/2          Solution

6)  x/4 ≤ 3/8          Solution

Solve the inequality. Graph the solution.

1)  3n > 18          Solution

2)  c/4 ≤ -9          Solution

3)  1.2m < 12          Solution

4)  -14 > x ÷ 2          Solution

5)  w/5 ≥ -2.6          Solution

6)  5 < 2.5k          Solution

7)  4x ≤ -3/2          Solution

8)  2.6y ≤ -10.4          Solution

9)  10.2 > b/3.4          Solution

Problem 10 :

The tallest person who ever lived was approximately 8 feet 11 inches tall.

a. Write an inequality that represents the heights of every other person who has ever lived.

b. Is 9 feet a solution of the inequality? Explain.

Solution

Problem 11 :

The winner of a weight-lifting competition bench-pressed 400 pounds. The other competitors all bench-pressed at least 23 pounds less.

a. Write an inequality that represents the weights that the other competitors bench-pressed.

b. Was one of the other competitors able to bench-press 379 pounds? Explain.

Solution

Problem 12 :

A circuit overloads at 1800 watts of electricity. You plug a microwave oven that uses 1100 watts of electricity into the circuit.

a. Write and solve an inequality that represents how many watts you can add to the circuit without overloading the circuit.

b. In addition to the microwave oven, which of the following appliances can you plug into the circuit at the same time without overloading the circuit

Solution

Answer Key

1)  n > 6

2)  c ≤ -36

3)  m < 10

4)  -28 > x

5)  w ≥ -13

6)  k > 2

7)  x ≤ -3/8

8)  y ≤ -4

9)  b < 34.68

10) a) h < 107

b) 9 feet is not the solution.

11) a) x ≤ 377

b) 379 ≤ 377

12) The circuit will not overload because the total wattage is less than 1800 watts.