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Region 2  

Step-by-step explanation:

The graph of y ≤ x + 5 is red.

All solutions to the inequality are below the line — Regions 2 and 3.

The graph of y ≥ -x - 3 is blue.

All solutions to the inequality are above the line —Regions 1 and 2.

The solution to the system of inequalities is the purple area where the solutions overlap — Region 2.

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