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Question Number 86779 by M±th+et£s last updated on 31/Mar/20
ssolve 1)x−[x]≥0 2)x−[x]≤0 3)x+[x]≥0 4)x+[x]≤0
ssolve1)x−[x]⩾02)x−[x]⩽03)x+[x]⩾04)x+[x]⩽0
Answered by mr W last updated on 31/Mar/20
(1) x≥[x] ⇒x≥0 (2) x≤[x] ⇒x≤0 (3) if x≥0, [x]=x−δ x+[x]=2x−δ≥0 x≥(δ/2) ⇒x≥0 if x<0, [x]=x+1−δ x+[x]=2x+1−δ≥0 x≥−(1/2)+(δ/2)≥0 ⇒x≥0 is solution (4) if x≥0, [x]=x−δ x+[x]=2x−δ≤0 x≤(δ/2)≤0 if x<0, [x]=x+1−δ x+[x]=2x+1−0 x≤−(1/2)+(δ/2)≤0 ⇒x≤0 is solution
(1)x⩾[x]⇒x⩾0(2)x⩽[x]⇒x⩽0(3)ifx⩾0,[x]=x−δx+[x]=2x−δ⩾0x⩾δ2⇒x⩾0ifx<0,[x]=x+1−δx+[x]=2x+1−δ⩾0x⩾−12+δ2⩾0⇒x⩾0issolution(4)ifx⩾0,[x]=x−δx+[x]=2x−δ⩽0x⩽δ2⩽0ifx<0,[x]=x+1−δx+[x]=2x+1−0x⩽−12+δ2⩽0⇒x⩽0issolution
Commented by M±th+et£s last updated on 31/Mar/20
thank you sir
thankyousir
Commented by TawaTawa1 last updated on 31/Mar/20
Sir, help me with Q86789
Sir,helpmewithQ86789
Commented by mr W last updated on 31/Mar/20
try to solve by yourself at first...
trytosolvebyyourselfatfirst…

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