Ms. Terkper's Digital Classroom

6.4 & 6.5 – Solving Linear Inequalities

1. Solve the inequality and select the correct answer: **\( 3 < -5n + 2n \)**

2.Solve the inequality and select the correct answer: **\( 6x + 2 + 6x < 14 \)**

3. Solve the inequality and select the correct answer: **\( -p - 4p > -10 \)**

4. Solve the inequality and select the correct answer: **\( 18 \geq 5k + 4k \)**

5. Solve the inequality and select the correct answer: **\( 9 \geq -2m + 2 - 3 \)**

6. Solve the inequality and select the correct answer: **\( -3 - 6(4x + 6) > -111 \)**

7. Solve the inequality and select the correct answer: **\( \frac{5}{3}v - \frac{3}{4} < -\frac{1}{12} + v \)**

8. Solve the inequality and select the correct answer: **\( \frac{1}{4}a - \frac{1}{2} < -1 + \frac{1}{2}a \)**

9. Jake plans to board his dog while he is away on vacation. Boarding house A charges **$90 plus $5 per day**. Boarding house B charges **$100 plus $4 per day**. For how many days must Jake board his dog for A to be less expensive than B?

10. The Student Council decides to raise money by organizing a dance. Tickets are sold for **$7.50 each**, but the cost of hiring the video-DJ is **$1200**. How many tickets must be sold to make a profit of more than **$1500**?