Answer:
a=-5
Step-by-step explanation:
subtract 3 from both sides
15=-3a
divide by -3
a=-5
Answer:
W = - 6
Step-by-step explanation:
-3(-8w+1) - w = 5(w-1) - 1 -> (Original equation)
24w - 3 - w = 5w - 5 - 1 -> (Expanded version)
23w - 3 = 5w - 6 -> (Simplified version)
18w - 3 = - 6 -> (Subtract 5w from both sides)
18w = - 3 -> (Add 3 to both sides)
w = 18/-3 which is - 6 -> (Doing 18/-3)
The interval notation is 
Explanation:
The inequality is 
Let us complete the square, we get,

Simplifying, we have,


Adding both sides of the equation by 11, we get,

Since, we know that for
, if n is even then ![-\sqrt[n]{a}](https://tex.z-dn.net/?f=-%5Csqrt%5Bn%5D%7Ba%7D%3Cu%3C%5Csqrt%5Bn%5D%7Ba%7D)
Thus, writing the above expression in this form, we get,

Also, if
then
and 
Then ,we have,
and 
Solving the inequalities, we get,
and 
Merging the intervals, we have,

Hence, writing the solution in interval notation, we have,

Therefore, the answer is 