What are the solutions to the equation

a. x = –7 and x = 1
b. x = –6 and x = –1
c. x = –1 and x = 7
d. x = 1 and x = 6

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