Which of the following is the correct value for x?

x = 55.94 degrees

Step-by-step explanation:

(to find x, use cosine) (cos = )

First step: write out the equation

⇒ cos x =

Second step: find out what  is

⇒ = 0.56

Third step: find out what the cos-1 of 0.56 is

⇒ cos-1 of 0.56 = 55.94

Fourth step: you got your answer

⇒ x = 55.94

3< x< 5

step-by-step explanation:

|x - 4| < 1

there are two solutions, one positive and one negative.   remember to flip the inequality when taking the negative solution

x-4 < 1       x-4 > -1

add 4 to each side

x-4+4 < 1+4       x-4+4 > -1+4

x< 5                 x> 3

3< x< 5