Answer:
1. B
2. C
3. B
4. A
5. D
6. B
7. A
8. B/D
9. A
10.B
Step-by-step explanation:
1. 3+x=4
=
2. 3x -2=4
3. x-1 <10
4.
5. 1/2 x + 3 = -3
6. 2x>-10
7. x-5 = 13
8.
9. -x+1=10
10. 1-3x=13
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Answers & Comments
Answer:
1. B
2. C
3. B
4. A
5. D
6. B
7. A
8. B/D
9. A
10.B
Step-by-step explanation:
1. 3+x=4
=![x=4-3 x=4-3](https://tex.z-dn.net/?f=x%3D4-3)
=![x=1 x=1](https://tex.z-dn.net/?f=x%3D1)
2. 3x -2=4
=![3x = 4+2 3x = 4+2](https://tex.z-dn.net/?f=3x%20%3D%204%2B2)
=![3x = 6 3x = 6](https://tex.z-dn.net/?f=3x%20%3D%206)
=![\frac{3x}{3} = \frac{6}{3} \frac{3x}{3} = \frac{6}{3}](https://tex.z-dn.net/?f=%5Cfrac%7B3x%7D%7B3%7D%20%3D%20%5Cfrac%7B6%7D%7B3%7D)
=![x=2 x=2](https://tex.z-dn.net/?f=x%3D2)
3. x-1 <10
=![x x](https://tex.z-dn.net/?f=x%3C10%2B1)
=![x x](https://tex.z-dn.net/?f=x%3C11)
4.![2x -9 \geq -7 2x -9 \geq -7](https://tex.z-dn.net/?f=2x%20-9%20%5Cgeq%20-7)
=![2x\geq -7+9 2x\geq -7+9](https://tex.z-dn.net/?f=2x%5Cgeq%20-7%2B9)
=![2x \geq 2 2x \geq 2](https://tex.z-dn.net/?f=2x%20%5Cgeq%202)
=![\frac{2x}{x}\geq \frac{2}{2} \frac{2x}{x}\geq \frac{2}{2}](https://tex.z-dn.net/?f=%5Cfrac%7B2x%7D%7Bx%7D%5Cgeq%20%5Cfrac%7B2%7D%7B2%7D)
=![x\geq 1 x\geq 1](https://tex.z-dn.net/?f=x%5Cgeq%201)
5. 1/2 x + 3 = -3
=![\frac{x}{2}+3=-3 \frac{x}{2}+3=-3](https://tex.z-dn.net/?f=%5Cfrac%7Bx%7D%7B2%7D%2B3%3D-3)
=![\frac{x}{2}=-3-3 \frac{x}{2}=-3-3](https://tex.z-dn.net/?f=%5Cfrac%7Bx%7D%7B2%7D%3D-3-3)
=![\frac{x}{2}=-6 \frac{x}{2}=-6](https://tex.z-dn.net/?f=%5Cfrac%7Bx%7D%7B2%7D%3D-6)
=![(\frac{x}{2} )(2) = -6(2) (\frac{x}{2} )(2) = -6(2)](https://tex.z-dn.net/?f=%28%5Cfrac%7Bx%7D%7B2%7D%20%29%282%29%20%3D%20-6%282%29)
=![x=-12 x=-12](https://tex.z-dn.net/?f=x%3D-12)
6. 2x>-10
=![\frac{2x}{2}>\frac{-10}{2} \frac{2x}{2}>\frac{-10}{2}](https://tex.z-dn.net/?f=%5Cfrac%7B2x%7D%7B2%7D%3E%5Cfrac%7B-10%7D%7B2%7D)
=![x=-5 x=-5](https://tex.z-dn.net/?f=x%3D-5)
7. x-5 = 13
=![x = 13+5 x = 13+5](https://tex.z-dn.net/?f=x%20%3D%2013%2B5)
=![x=18 x=18](https://tex.z-dn.net/?f=x%3D18)
8.![14-5x\leq -1 14-5x\leq -1](https://tex.z-dn.net/?f=14-5x%5Cleq%20-1)
=![-5x\leq -1-14 -5x\leq -1-14](https://tex.z-dn.net/?f=-5x%5Cleq%20-1-14)
=![-5x\leq -15 -5x\leq -15](https://tex.z-dn.net/?f=-5x%5Cleq%20-15)
=![\frac{-5x}{-5}\leq \frac{-15}{-5} \frac{-5x}{-5}\leq \frac{-15}{-5}](https://tex.z-dn.net/?f=%5Cfrac%7B-5x%7D%7B-5%7D%5Cleq%20%5Cfrac%7B-15%7D%7B-5%7D)
=![x\geq \frac{-15}{-5} x\geq \frac{-15}{-5}](https://tex.z-dn.net/?f=x%5Cgeq%20%5Cfrac%7B-15%7D%7B-5%7D)
=![x\geq 3 x\geq 3](https://tex.z-dn.net/?f=x%5Cgeq%203)
9. -x+1=10
=![-x=10-1 -x=10-1](https://tex.z-dn.net/?f=-x%3D10-1)
=![-x=9 -x=9](https://tex.z-dn.net/?f=-x%3D9)
10. 1-3x=13
=![-3x=13-1 -3x=13-1](https://tex.z-dn.net/?f=-3x%3D13-1)
=![-3x=12 -3x=12](https://tex.z-dn.net/?f=-3x%3D12)
=![\frac{-3x}{-3}= \frac{12}{-3} \frac{-3x}{-3}= \frac{12}{-3}](https://tex.z-dn.net/?f=%5Cfrac%7B-3x%7D%7B-3%7D%3D%20%5Cfrac%7B12%7D%7B-3%7D)
=![x=-4 x=-4](https://tex.z-dn.net/?f=x%3D-4)