Answer:
- 1. A) Contradiction
- 2. C) Identity
- 3. z = ( - oo, 7)
Explanation:
1. Simplifying
- 4(x + 3) = -7(6 + 2x) + 18x
- 4x + 12 = -42 - 14x + 18x
- 4x + 12 = 4x - 42
The left and right sides are different so the answer is:
2. Simplifying
- 5(x - 9) + 10x = 6x + 9(x - 5)
- 5x - 45 + 10x = 6x + 9x - 45
- 15x - 45 = 15x - 45
The left and right sides are identical so the answer is:
3. Solving inequality:
- -2( -3z + 3) < 2z + 22
- 6z - 6 < 2z + 22
- 4z < 28
- z < 7
- z = ( - oo, 7)