The answer is c. 2/4..
When you simplify 2/4 you will get 1/2 ..
Hope it helps !!!
Answer:
8x < 16 it shows the solution of the compound inequality
Answer:
1) ![p=3](https://tex.z-dn.net/?f=p%3D3)
2)![t=-7](https://tex.z-dn.net/?f=t%3D-7)
3)![x=15](https://tex.z-dn.net/?f=x%3D15)
4) ![x=7](https://tex.z-dn.net/?f=x%3D7)
Step-by-step explanation:
1) Apply distributive property:
![2(p+ 5) = 16\\2p+10=16](https://tex.z-dn.net/?f=2%28p%2B%205%29%20%3D%2016%5C%5C2p%2B10%3D16)
Subtract 10 from both sides of the equation and then divide both sides by 2:
![2p+10-10=16-10\\\frac{2p}{2}=\frac{6}{2}\\p=3](https://tex.z-dn.net/?f=2p%2B10-10%3D16-10%5C%5C%5Cfrac%7B2p%7D%7B2%7D%3D%5Cfrac%7B6%7D%7B2%7D%5C%5Cp%3D3)
2) Apply distributive property:
![-3(t + 1) = 18\\-3t -3= 18](https://tex.z-dn.net/?f=-3%28t%20%2B%201%29%20%3D%2018%5C%5C-3t%20-3%3D%2018)
Add 3 to both sides of the equation and then divide both sides by -3:
![-3t -3+3= 18+3\\\frac{-3t}{-3}=\frac{21}{-3}\\t=-7](https://tex.z-dn.net/?f=-3t%20-3%2B3%3D%2018%2B3%5C%5C%5Cfrac%7B-3t%7D%7B-3%7D%3D%5Cfrac%7B21%7D%7B-3%7D%5C%5Ct%3D-7)
3) Apply distributive property:
![-\frac{2}{5}(x+10)=-10\\\\-\frac{2}{5}x-4=-10](https://tex.z-dn.net/?f=-%5Cfrac%7B2%7D%7B5%7D%28x%2B10%29%3D-10%5C%5C%5C%5C-%5Cfrac%7B2%7D%7B5%7Dx-4%3D-10)
Add 4 to both sides of the equation:
![-\frac{2}{5}x-4+4=-10+4\\\\-\frac{2}{5}x=-6](https://tex.z-dn.net/?f=-%5Cfrac%7B2%7D%7B5%7Dx-4%2B4%3D-10%2B4%5C%5C%5C%5C-%5Cfrac%7B2%7D%7B5%7Dx%3D-6)
Multiply both sides by
:
![(-\frac{2}{5}x)(-\frac{5}{2}) =-6(-\frac{5}{2})\\\\x=15](https://tex.z-dn.net/?f=%28-%5Cfrac%7B2%7D%7B5%7Dx%29%28-%5Cfrac%7B5%7D%7B2%7D%29%20%3D-6%28-%5Cfrac%7B5%7D%7B2%7D%29%5C%5C%5C%5Cx%3D15)
4) Apply distributive property:
![\frac{2}{3}(x-10)=-2\\\\\frac{2}{3}x-\frac{20}{3}=-2](https://tex.z-dn.net/?f=%5Cfrac%7B2%7D%7B3%7D%28x-10%29%3D-2%5C%5C%5C%5C%5Cfrac%7B2%7D%7B3%7Dx-%5Cfrac%7B20%7D%7B3%7D%3D-2)
Add
to both sides of the equation:
![\frac{2}{3}x-\frac{20}{3}+\frac{20}{3}=-2+\frac{20}{3}\\\\\frac{2}{3}x=\frac{14}{3}](https://tex.z-dn.net/?f=%5Cfrac%7B2%7D%7B3%7Dx-%5Cfrac%7B20%7D%7B3%7D%2B%5Cfrac%7B20%7D%7B3%7D%3D-2%2B%5Cfrac%7B20%7D%7B3%7D%5C%5C%5C%5C%5Cfrac%7B2%7D%7B3%7Dx%3D%5Cfrac%7B14%7D%7B3%7D)
Multiply both sides by
:
![(\frac{2}{3}x)(\frac{3}{2})=(\frac{14}{3})(\frac{3}{2})\\\\x=7](https://tex.z-dn.net/?f=%28%5Cfrac%7B2%7D%7B3%7Dx%29%28%5Cfrac%7B3%7D%7B2%7D%29%3D%28%5Cfrac%7B14%7D%7B3%7D%29%28%5Cfrac%7B3%7D%7B2%7D%29%5C%5C%5C%5Cx%3D7)
Answer:
It Is true and then false
Step-by-step explanation: