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Question Number 75936 by Rio Michael last updated on 21/Dec/19

prove that if [((x + 1)/x)] = 0 then x ≤ −1

provethatif[x+1x]=0thenx⩽−1

Commented by turbo msup by abdo last updated on 21/Dec/19

[((x+1)/x)]=0 ⇒[1+(1/x)]=0 ⇒ 1+[(1/x)]=0 ⇒[(1/x)]=−1 ⇒ −1≤(1/x)<0 ⇒0<−(1/x)≤−1 ⇒ ⇒−x≥−1 ⇒x≤−1

[x+1x]=0⇒[1+1x]=0⇒1+[1x]=0⇒[1x]=−1⇒−1⩽1x<0⇒0<−1x⩽−1⇒⇒−x⩾−1⇒x⩽−1

Commented by Rio Michael last updated on 21/Dec/19

thanks sir

thankssir

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