`e) |1,5x| = -2`
Vì `|1,5x|≥ 0` mà `-2 < 0`
⇒ `x` không thỏa mãn điều kiện
``
`f) |2-x|=0,1`
⇒ `+) 2 - x = 0,1`
`x = 2 - 0,1`
`x = 1,9`
`+) 2 - x = -0,1`
`x = 2 - (-0,1)`
`x = 2,1`
Vậy `x∈ { 1,9 ; 2,1}`
``
`g) |x+4| = 2`
⇒`+) x + 4 = 2`
`x = 2 - 4`
`x= -2`
`+) x + 4 =-2`
`x = -2 - 4`
`x = -6`
Vậy `x∈{ -2 ; -6}`
``
`h)|2x - 4|= 4`
⇒ `+) 2x - 4 = 4`
`2x = 4 + 4`
`2x = 8`
`x = 8 : 2`
`x = 4`
`+) 2x - 4 = -4`
`2x = -4 + 4`
`2x = 0`
`x = 0 : 2`
`x = 0`
Vậy `x ∈ { 4 ; 0}`
`2)`
`2)`
`a) | 2x - 3| - 1/3 = 0`
`|2x - 3| = 0 + 1/3`
`|2x - 3| = 1/3`
⇒ `+) 2x - 3 = 1/3`
`2x = 1/3 + 3`
`2x = 10/3`
`x= 10/3 : 2`
`x= 5/3`
`+) 2x - 3 = -1/3`
`2x = -1/3 + 3`
`2x = 8/3`
`x = 8/3 : 2`
`x = 4/3`
Vậy `x∈ { 5/3 ; 4/3}`
``
`b) 5/6 - |x + 1/4| = 1/4`
`|x + 1/4| = 5/6 - 1/4`
`|x + 1/4 | = 7/12`
⇒ `+) x + 1/4 = 7/12`
`x = 7/12 - 1/4`
`x=1/3`
`+) x + 1/4 = -7/12`
`x = -7/12 - 1/4`
`x=-5/6`
Vậy `x∈ { 1/3 ; -5/6}`
``
`c) | x + 3/4| - 1/2= 0`
`|x + 3/4| = 0 + 1/2`
`|x + 3/4 | = 1/2`
⇒ `+) x + 3/4 = 1/2`
`x = 1/2 - 3/4`
`x=-1/4`
`+) x + 3/4 = -1/2`
`x = -1/2 - 3/4`
`x=-5/4`
Vậy `x∈ { -1/4 ; -5/4}`
``
`d) | x + 2/5| - 1/3 = 1/3`
`|x + 2/5| = 1/3 + 1/3`
`|x + 2/5| = 2/3`
⇒ `+) x + 2/5 = 2/3`
`x = 2/3 - 2/5`
`x=4/15`
`+) x + 2/5 = -2/3`
`x= -2/3 - 2/5`
`x=-16/15`
Vậy `x∈ { 4/15 ; -16/15}`
``
`e) 7,5 - 3|5 - 2x| = -4,5`
`3|5-2x| = 7,5 - (-4,5)`
`3|5 - 2x| = 12`
`|5 - 2x| = 12 : 3`
`|5 - 2x| = 4`
⇒ `+) 5 - 2x = 4`
`2x = 5 - 4`
`2x = 1`
`x = 1 : 2`
`x = 1/2`
`+) 5 - 2x = -4`
`2x = 5 - (-4)`
`2x = 9`
`x = 9 : 2 `
`x = 9/2`
Vậy `x∈ { 1/2 ; 9/2}`
``
`f) 1/5 +|x - 13/10| = 3/2`
`|x - 13/10| = 3/2 - 1/5`
`|x - 13/10| = 13/10`
⇒`+) x - 13/10 = 13/10`
`x = 13/10 + 13/10`
`x = 26/10`
`+) x - 13/10 = -13/10`
`x = -13/10 + 13/10`
`x = 0`
Vậy `x∈ { 26/10 ; 0}`
``
`g)2 |2x - 3| = 1/2`
`|2x - 3| = 1/2 : 2`
`|2x - 3| = 1/4`
⇒ `+) 2x - 3= 1/4`
`2x = 1/4+ 3`
`2x = 13/4`
`x = 13/4 : 2`
`x= 13/8`
`+)2x - 3 = -1/4`
`2x = -1/4 + 3`
`2x = 11/4`
`x = 11/4 : 2`
`x=11/8`
Vậy `x∈ { 13/8 ; 11/8}`
``
`h) 3,6 - | x - 0,4| = 0`
`|x - 0,4| = 3,6 - 0`
`|x - 0,4| = 3,6`
⇒ `+) x - 0,4 = 3,6`
`x = 3,6 + 0,4`
`x = 4`
`+) x - 0,4 = -3,6`
`x = -3,6 + 0,4`
`x =-3,2`
Vậy `x∈ { 4 ; -3,2}`
``
`i) |3/4 - 1/2x| + 1/3 = 5/6`
`|3/4 - 1/2x| = 5/6 - 1/3`
`|3/4 - 1/2x| = 1/2`
⇒ `+) 3/4 - 1/2x = 1/2`
`1/2x = 3/4 - 1/2`
`1/2x = 1/4`
`x = 1/4 : 1/2`
`x =1/2`
`+) 3/4 - 1/2x = -1/2`
`1/2x = 3/4 - (-1/2)`
`1/2x = 5/4`
`x = 5/4 : 1/2`
`x=5/2`
Vậy `x∈ { 1/2 ; 5/2}`
``
`j) 1/2 - |5/4 - 2x| = 1/3`
`|5/4 - 2x| = 1/2 - 1/3`
`|5/4 - 2x|= 1/6`
⇒ `5/4 - 2x = 1/6`
`2x = 5/4 - 1/6`
`2x = 13/12`
`x = 13/12 : 2`
`x= 13/24`
`+) 5/4 - 2x = -1/6`
`2x = 5/4 - (-1/6)`
`2x = 17/12`
`x = 17/12 : 2`
`x= 17/24`
Vậy `x∈ { 13/24 ; 17/24}`
