In the diagram below, all measurements are given correct to the nearest cm. Calculate the greatest possible area of the shaded region.

horizontal translation of 2 units in the positive x direction

followed by

vertical translation of 3 units in the positive y direction

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