X=-7
I'd be happy to help if you need an explanation:)
Step-by-step explanation:
Let us intepret this condition in our context:
"...that the minimum value is not less than 2 and the maximum value is not greater than 5"
This means that when we roll the dice, we do not want 1 or 6 to appear. Instead we wish for 2/3/4/5 to appear.
The probability of getting these four sides out of six in a roll is 4/6, or 2/3.
We have to roll this dice 4 times. Hence we raise the probability to a power of 4:
Total probability = (2/3)⁴
= (2)⁴ / (3)⁴
= 16/81. (C)
I think is c if im not mistaking
If |2w - 3| > 5
then
2w - 3 < - 5 or 2w - 3 > 5
2w < - 5 + 3 or 2w > 5 + 3
2w < - 2 or 2w > 8
w < -2/2 or w > 8/2
w < -1 or w > 4
So the solution set is
S = { x E R : w < -1 or w > 4}
or using the interval notation
S = (- infinity, -1) U (4, + infinity).
I hope this helps. =)