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Question Number 188430 by mnjuly1970 last updated on 01/Mar/23

2⌊ x ⌋ − ⌊ −x ⌋ =4 −−−− if x∈Z ⇒ 2x +x = 4 ⇒ x=(4/3) ,impossible if x∉ Z ⇒^(⌊−x⌋=−⌊x⌋−1) 2⌊x⌋+⌊x⌋=3 ⇒ ⌊ x ⌋= 1 ⇒ 1≤ x < 2 ⇒^(x≠1) x∈ (1 , 2) ✓

2⌊x⌋−⌊−x⌋=4 −−−− ifx∈Z⇒2x+x=4⇒x=43,impossible ifx∉Z⇒⌊−x⌋=−⌊x⌋−12⌊x⌋+⌊x⌋=3 ⇒⌊x⌋=1⇒1⩽x<2⇒x≠1x∈(1,2)✓

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