Question

Which statement is equivalent to |x + 69| > 105?

x + 69 > 105 or x + 69 < -105
x + 69 > 105
-105 < x + 69 < -105
x + 69 > -105

Answer 1

first one

Answer 2

says \(x\) is greater than 105 units from \(-69\) so can be in either direction

Answer 3

first one

Answer 4

all other options are irrelevant, and since we are talking about magnitude, so x+69 should always be greater than 105 in numeric value, be it positive or negative ( note that in negative sign, the inequality sign gets reversed)