siya05 siya05
  • 16-08-2021
  • Mathematics
contestada

Find x if 2 {x}^2- 3 {x} + 1 >0, where {.} denotes the fractional part in [- 1, 1]

Respuesta :

yakuzax080
yakuzax080 yakuzax080
  • 16-08-2021

Step-by-step explanation:

−1,

2

−1

]∪[0,

2

1

]∪{1}

For f to be defined 2{x}

2

−3{x}+1≥0

({x}−1)(2{x}−1)≥0

⇒{x}∈(−∞,

2

1

)∪[1,∞)

But we know, {x}∈[0,1)

Thus {x}∈[0,

2

1

)→(1)

Also given that x∈[−1,1]

Hence required domain is [−1,−

2

1

]∪[0,

2

1

],∪{1}

Note {−x}=1−{x}

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