To find equivalent inequalities you have to work the inequality given.
The first step is transpose on of sides to have an expression in one side and zero in the other side:
x - 6 x + 7
--------- ≥ --------
x + 5 x + 3
=>
x - 6 x + 7
--------- - -------- ≥ 0
x + 5 x + 3
=>
(x - 6) (x + 3) - (x + 7) (x + 5)
--------------------------------------- ≥ 0
(x + 5) (x + 3)
=>
x^2 - 3x - 18 - x^2 - 12x - 35
--------------------------------------- ≥ 0
(x + 5) (x + 3)
15x + 53
- ------------------- ≥ 0
(x + 5) (x + 3)
That is an equivalent inequality. Sure you can arrange it to find many other equivalent inequalities. That is why you should include the list of choices. Anyway from this point it should be pretty straigth to arrange the terms until making the equivalent as per the options.
30 minutes after 7:30 would be 8:00 PM
5:9 is just 5/9
Hope this helps!
Answer:
D
Step-by-step explanation:
When you put something in parenthesis by a number, your multiplying each individual number by the number outside of parenthesis. Therefore, 5(2) = 10 and 5(7) = 35 and that equals 45, and 5(2+7) you distribute the 5 to both numbers and get 10+35 which equals 45 aswell.
