X ≤ 1 and x ≥ 3
Hope this helps :)
Answer:
4/40
Step-by-step explanation:
you can reduce this to 1/10
multiplying 4 by both 1 and 10 will give you the fraction 4/40 both can be divided by 4 and that's how it can reduce to the 1st fraction (1/10)
Step-by-step explanation:
a < (a + b)/2 < b
Solve the first inequality.
a < (a + b)/2
2a < a + b
a < b
Solve the second inequality.
(a + b)/2 < b
a + b < 2b
a < b
Both inequalities are true. Therefore, a < (a + b)/2 < b.
Answer: Ix - 5I ≥ 5.
Step-by-step explanation:
We want the set:
[0, 10]
to be the solution of:
Ix - bI ≤ c
So we need to find the values of c and b.
The first step is to find the middle point in our segment.
We can do that by adding the extremes and dividing it by 2.
M = (10 + 0)/2 = 5
And we also want to find half of the difference between the extremes, this is:
D = (10 - 0)/2 = 5.
Now, this set will be the set of solutions of:
Ix - MI ≥ D
Then in our case, we have:
Ix - 5I ≥ 5.
so we have that b = 5, and c = 5.
x will be 67 because in each case the angles are alternate interior angle so we can prove x=67degree
