Determine the solution set for the inequality ∣x−3∣+∣x+2∣≥5|x-3| + |x+2| \geq 5∣x−3∣+∣x+2∣≥5.
(−∞,∞)(-\infty, \infty)(−∞,∞)
Empty set
[−2,3][-2, 3][−2,3]
x≥3x \geq 3x≥3 or x≤−2x \leq -2x≤−2