Question

Rezolvati inecuatiile:
|-3x+2|< sau egal 5
|-3x+4|>2
Urgentt!!Va rog!!

Answer 1

l-3x+2l<sau= 5
3x+2 <sau= 5
3x <sau= 5-2
3x <sau= 3
x <sau= 3:3
x<sau= 1
x apartine {1 , 0}

l-3x+4l>2
x=2
x apartine {2,3,4,...}

Answer 2

" |-3x+2|< sau egal 5 "

$\it |-3x+2| \leq5 \Longleftrightarrow |3x-2|\leq 5 \Longleftrightarrow -5\leq 3x-2\leq 5 |_{+2} \Longleftrightarrow$

$\it \Longleftrightarrow -3\leq3x\leq7|_{:3} \Longleftrightarrow -1\leq x\leq\dfrac{7}{3} \Longleftrightarrow x\in \left[-1,\ \dfrac{7}{3}\right]$

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