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To solve the inequality |x + 20/5| > 4, we can break it down into two separate inequalities:
1) x + 20/5 > 4
2) x + 20/5 < -4
Solving the first inequality:
x + 20/5 > 4
x + 4 > 4
x > 4 - 4
x > 0
Solving the second inequality:
x + 20/5 < -4
x + 4 < -4
x < -4 - 4
x < -8
Combining the two solutions, we have x > 0 or x < -8.
Graphically, this can be represented as an open circle at x = 0 and an open circle at x = -8, with a shaded region in between.