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Baholash (complex solution)
toʻgʻri
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\frac{\frac{1}{2}\left(-3m+2\right)}{3m-2}<0
\frac{1-\frac{3}{2}m}{3m-2} ichida hali faktorlanmagan ifodalarni faktorlang.
\frac{-\frac{1}{2}\left(3m-2\right)}{3m-2}<0
2-3m mislodagi manfiy ishorani chiqarib tashlang.
-\frac{1}{2}<0
Surat va maxrajdagi ikkala 3m-2 ni qisqartiring.
\text{true}
-\frac{1}{2} va 0 ni taqqoslang.
-\frac{3m}{2}+1>0 3m-2<0
For the quotient to be negative, -\frac{3m}{2}+1 and 3m-2 have to be of the opposite signs. -\frac{3m}{2}+1 musbat, 3m-2 manfiy boʻlganda, yechimni toping.
m<\frac{2}{3}
Ikkala tengsizlikning mos yechimi – m<\frac{2}{3}.
3m-2>0 -\frac{3m}{2}+1<0
3m-2 musbat, -\frac{3m}{2}+1 manfiy boʻlganda, yechimni toping.
m>\frac{2}{3}
Ikkala tengsizlikning mos yechimi – m>\frac{2}{3}.
m\neq \frac{2}{3}
Oxirgi yechim olingan yechimlarning birlashmasidir.