Question

1/2 - (1/3 + 3/4) ≤ x ≤ 1/24 - (1/8 - 1/3)
Tìm x

Câu vừa nãy viết nhầm đề bài ạa!

Answer 1

`1/2-(1/3+3/4) ≤ x ≤ 1/24 -(1/8-1/3)`

Ta có :

`1/2-(1/3+3/4) `

`= 1/2-(4/12+9/12)`

`= 1/2-13/12`

`= -7/12`

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`1/24-(1/8-1/3)`

`= 1/24-(3/24-8/24)`

`= 1/24 + 5/24`

`=6/24`

`= 3/12`

`⇒ -7/12 < x < 3/12`

`⇒ x = −7;−6;−5;...;0`

`⇒ x ∈ {−7;−6;−5;...;0}`

Answer 2

Answer 3

$\dfrac{1}{2}$ - ($\dfrac{1}{3}$ + $\dfrac{3}{4}$) \(\le\) x \(\le\) $\dfrac{1}{24}$ - ($\dfrac{1}{8}$ - $\dfrac{1}{3}$)

$\dfrac{1}{2}$ - $\dfrac{13}{12}$ \(\le\) x \(\le\) $\dfrac{1}{24}$ - $\dfrac{-5}{24}$

$\dfrac{-7}{12}$ \(\le\) x \(\le\) $\dfrac{1}{4}$

=> x $\in$ [$\dfrac{-7}{12}$; $\dfrac{1}{4}$]