2(2x − 1) > 6 or x + 3 ≤ −6
2(2x − 1) > 6
4x - 2 > 6
4x > 8
x > 2
or
x + 3 ≤ −6
x ≤ - 9
Solution: x ≤ - 9 or x > 2
(- ∞ , - 9] or (2 , + ∞)
Answer is the first one
(- ∞ , - 9] or (2 , + ∞)
First you make the mixed numbers/fractions into improper fractions. After that, you must find the common denominator, the LCM of 9 and 6 (for the 2nd problem). After that, if you can, simplify the fraction to lowest terms, which also includes making it a mixed number/fraction.
I hope this helps! :)
1) you have to add all the rings together to find the denominator
6 + 11 + 15 + +3 = 35
2) the numerator is the amount of rings of the certain color you are trying to find the probability of
15
3) find the theoretical probability! 15/35
4) simplify
15/35 (divide both by 5) = 3/7
hope it helped :)
The quickest way for converting small numbers like this to binary would probably be to find the closest power of 2, then add/subtract intermediate powers of 2 as needed.
Converting 8 is immediate, since it's already a power of 2:

Converting 15 and 17 is also pretty easy if you're familiar with the rules of arithmetic in binary.
