As given, Income of Homer and his wife = $60000
Interest earned = $1200.
Adding this to total income, we have total taxable amount = 60000+1200 = $61200
Now, investment in tax deferred savings plan = $ 2500
This amount will be subtracted from total taxable income, so amount becomes = 61200-2500 = $58700
We will also subtract the exemptions and deductions = $12000
Amount becomes = 58700-12000 = $46700
Hence, Net taxable income is $46,700
Answer:
![a)x < - \frac{2}{5}](https://tex.z-dn.net/?f=a%29x%20%3C%20%20-%20%20%5Cfrac%7B2%7D%7B5%7D%20)
![b)4 < - 2](https://tex.z-dn.net/?f=b%294%20%3C%20%20-%202)
Step-by-step explanation:
![a)2x + \frac{1}{2} x + 2 < 1](https://tex.z-dn.net/?f=a%292x%20%2B%20%20%5Cfrac%7B1%7D%7B2%7D%20x%20%2B%202%20%3C%201)
![= 4x + x + 4 < 2](https://tex.z-dn.net/?f=%20%3D%204x%20%2B%20x%20%2B%204%20%3C%202)
![= 5x + 4 < 2](https://tex.z-dn.net/?f=%20%3D%205x%20%2B%204%20%3C%202)
![= 5x < 2 - 4](https://tex.z-dn.net/?f=%20%3D%205x%20%3C%202%20-%204)
![= 5x < - 2](https://tex.z-dn.net/?f=%20%3D%205x%20%3C%20%20-%202)
![= x < - \frac{2}{5}](https://tex.z-dn.net/?f=%20%3D%20x%20%3C%20%20-%20%20%5Cfrac%7B2%7D%7B5%7D%20)
![= x < - 0.4 \times ∈( - \infty . - \frac{2}{5} )](https://tex.z-dn.net/?f=%20%3D%20x%20%3C%20%20-%200.4%20%20%5Ctimes%20%E2%88%88%28%20-%20%20%5Cinfty%20.%20-%20%20%5Cfrac%7B2%7D%7B5%7D%20%29)
![b) \frac{1}{x} + 4 < \frac{1}{x} - 2](https://tex.z-dn.net/?f=b%29%20%5Cfrac%7B1%7D%7Bx%7D%20%20%2B%204%20%3C%20%20%5Cfrac%7B1%7D%7Bx%7D%20%20-%202)
![= \frac{1}{x} + 4 < \frac{1}{x} - 2.x≠0](https://tex.z-dn.net/?f=%20%3D%20%20%5Cfrac%7B1%7D%7Bx%7D%20%20%2B%204%20%3C%20%20%5Cfrac%7B1%7D%7Bx%7D%20%20-%202.x%E2%89%A00)
![= 4 < - 2](https://tex.z-dn.net/?f=%20%3D%204%20%3C%20%20-%202)
= X ∈ ∅
Answer:
382
Step-by-step explanation:
Just add all of them and 1 hour equals 60 mins
4(2a-6)+8b=4(2*8-6)+8*3. Use PEMDAS. 4(16-6)+24. 4(10)+24=40+24. 40+24=64.
So, it's only x - 3 = 13, or x = 16! Hope it helps