Answer:
x > 3
Step-by-step explanation:
You have the following inequality:
![-4(2x-7)](https://tex.z-dn.net/?f=-4%282x-7%29%3C10-2x)
In order to obtain the solution for x, you first apply distribution property in the left term of the inequality:
![-4(2x)-4(-7)](https://tex.z-dn.net/?f=-4%282x%29-4%28-7%29%3C10-2x%5C%5C%5C%5C-8x%2B28%3C10-2x)
Next, you sum 2x on both sides, and you subtract 28 on both sides too:
![-8x+2x+28-28](https://tex.z-dn.net/?f=-8x%2B2x%2B28-28%3C10-28-2x%2B2x%5C%5C%5C%5C-6x%3C-18)
(where you have simplifies similar terms)
Finally, you divide the inequality for -6, but you take into account that the inequality symbol change (because the operation with a negative term):
![\frac{-6x}{-6}3](https://tex.z-dn.net/?f=%5Cfrac%7B-6x%7D%7B-6%7D%3C%5Cfrac%7B-18%7D%7B-6%7D%5C%5C%5C%5Cx%3E3)
hence, the solution to the inequality is x > 3
the Answer is in the attachments.
Hope This helps
31 hope that helps have a good one
<h3>Answer:</h3>
x + 0.75y = ≤ 35
<h3>Explanation:</h3>
The amount of candy purchased, plus the amount of soda purchased times the amount per soda must be less than or equal to 35.
<em>I hope this helps, let me know if it's wrong though.</em>
Answer:
Pio is paid with $ 401.25 for 51 hours in a week.
Step-by-step explanation:
Based on the information of the statement we can calculate his payment for 51 hours in a week but using this arithmetical formula:
![c = 7.50\,\frac{\$}{h}\times 46\,h + 1.5\times 7.50\,\frac{\$}{h}\times (51\,h-46\,h)](https://tex.z-dn.net/?f=c%20%3D%207.50%5C%2C%5Cfrac%7B%5C%24%7D%7Bh%7D%5Ctimes%2046%5C%2Ch%20%2B%201.5%5Ctimes%207.50%5C%2C%5Cfrac%7B%5C%24%7D%7Bh%7D%5Ctimes%20%2851%5C%2Ch-46%5C%2Ch%29)
![c = \$\,401.25](https://tex.z-dn.net/?f=c%20%3D%20%5C%24%5C%2C401.25)
Please notice that first component of the sum represent the ordinary time in a week (46 hours) and the second one, extra work time.
Pio is paid with $ 401.25 for 51 hours in a week.