Which value satisfies the triangle inequality |r + s| <= |r| + |s| with EQUALITY?
Ar = 5, s = -2
Br = -3, s = 7
Cr = 4, s = -4
Dr = 3, s = 5
Answer & Solution
Correct answer: D. r = 3, s = 5
Equality in the triangle inequality holds when r and s have the same sign (or one is zero). For r = 3, s = 5 both positive: |3 + 5| = 8 and |3| + |5| = 8. The other choices have opposite signs, which produce strict inequality.
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