3.2.2 Solving Inequalities with Variables on Both Sides - Worksheet
Example 1:
Solve each inequality and graph the solutions.
1. 2 x > 4 x − 6
2. 7 y + 1 ≤ y − 5
3. 27 x + 33 > 58 x − 29
4. − 3 r < 10 − r
5. 5 c − 4 > 8 c + 2
6. 4.5 x − 3.8 ≥ 1.5 x − 2.3
Example 2:
7. The school band will sell pizzas to raise money for new uniforms. The supplier charges $100 plus $4 per pizza. If the band members sell the pizzas for $7 each, how many pizzas will they have to sell to make a profit?
Example 3:
Solve each inequality and graph the solutions.
8. 5(4 + x ) ≤ 3(2 + x )
9. − 4(3 − p ) > 5( p + 1)
10. 2(6 − x ) < 4 x
1 3
1 6
3 4
1 4
11. 4 x > 3(7 − x )
12.
13. − 36.72 + 1.8 t + 3.85 t < 0.25 t
+ + ≥ f f f
Example 4: Solve each inequality. 14. 2( x − 2) ≤ − 2(1 − x )
15. 4( y + 1) < 4 y + 2
16. 4 v + 1 < 4 v − 7
17. b − 4 ≥ b − 6
18. 3( x − 5) > 3 x
19. 2 k + 7 ≥ 2( k + 14)
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