4.4 multi step inequalities - Free Printable

1. $x < -2$
- Subtract 2x from both sides: $4x < -8$
- Divide by 4: $x < -2$
- Graph: Open circle at -2, arrow to the left.

2. $x \le -5$
- Divide both sides by -3 (flip inequality): $x \le -5$
- Graph: Closed circle at -5, arrow to the left.

3. $x > 4$
- Divide both sides by 2: $3x + 1 > 13$
- Subtract 1: $3x > 12$
- Divide by 3: $x > 4$
- Graph: Open circle at 4, arrow to the right.

4. $x \le 30$
- Add 1 to both sides: $\frac{x}{2} \le 15$
- Multiply by 2: $x \le 30$
- Graph: Closed circle at 30, arrow to the left.

5. $x \le 9$
- Subtract 7x from both sides: $-2x \ge -18$
- Divide by -2 (flip inequality): $x \le 9$
- Graph: Closed circle at 9, arrow to the left.

6. $x < -5$
- Multiply both sides by 4: $x - 3 < -8$
- Add 3: $x < -5$
- Graph: Open circle at -5, arrow to the left.

7. $x \le -27$
- Subtract 5: $\frac{1}{3}x \le -9$
- Multiply by 3: $x \le -27$
- Graph: Closed circle at -27, arrow to the left.

8. $x < -9$
- Combine like terms: $-x > 9$
- Multiply by -1 (flip inequality): $x < -9$
- Graph: Open circle at -9, arrow to the left.