If a, b, c ∈ R then _____?
- a < b ⟹ b + c < a + c
- a < b ⟹ a + c = b + c
- a < b ⟹ a + c < b + c
- None of these
Explanation
If a, b, c ∈ R (real numbers), then:
a < b ⟹ a + c < b + c
This is a fundamental property of inequalities, which states that adding the same value to both sides of an inequality preserves the inequality.
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