Answer: IX - 4I ≤ 4
Step-by-step explanation:
In the numer line we can see that our possible values of x are in the range:
0 ≤ x ≤ 8
And we want to find an absolute value equation such that this set is the set of possible solutions.
An example can be:
IX - 4I ≤ 4
To construct this, we first find the midpoint M of our set, in this case is 4.
Then we write:
Ix - MI ≤ IMI
Notice that i am using the minor and equal sign, this is because the black dots means that the values x = 0 and x = 8 are included, if the dots were empty dots, it would be an open set and we should use the < > signs.
I believe it's -5.25 because it's adding .50 everytime
The correct answer is
<span>5 - 4 + 7x + 1 = 7 x + 1</span>
To solve this we can take two different approaches:
1. We can substitute theta by 30° and evaluate our expression using a calculator:


2. We can use the unitary circle and the fact that

, so we can rewrite our expression as follows:



From our unitary circle we can check that

and

.
Lets replace those values in our expression and simplify:



Either way we can conclude that the correct answer is:
D)8.7