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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-lt-2-x-1-x-1-2-

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

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