Express the fact that x differs from -6 by more than 1 as an inequality involving an absolute value. Solve for x

Question

Write the inequality expressing the given facts.

The soloution set is {x|.....}

Answer 1

|X - -6 | > 1

| x + 6 | > 1

X+6 > 1 or x + 6 < -1

X >- 5 or x < -7