Question

Determinati x ∈ numerelor intregi, stiind ca √(2x-3)²≤1

Answer 1

|2x-3|≤1 ⇔ -1 ≤ 2x-3 ≤ 1 /+3⇒ 2 ≤ 2x ≤ 4/:2⇒ 1 ≤ x ≤2⇒ x∈{1,2}