Whakaoti i te -3p-2<1/2p

$$- 3 p - 2 < \frac { 1 } { 2 } p$$

Whakaoti mō p

$$p>-\frac{4}{7}$$

Ngā Upane Otinga

Tangohia te \frac{1}{2}p mai i ngā taha e rua.

$$-3p-2-\frac{1}{2}p<0$$

Pahekotia te -3p me -\frac{1}{2}p, ka -\frac{7}{2}p.

$$-\frac{7}{2}p-2<0$$

Me tāpiri te 2 ki ngā taha e rua. Ko te tau i tāpiria he kore ka hua koia tonu.

$$-\frac{7}{2}p<2$$

Me whakarea ngā taha e rua ki te -\frac{2}{7}, te tau utu o -\frac{7}{2}. Nō te mea he <0 te -\frac{7}{2}, ka hurihia te ahunga koreōrite.

$$p>2\left(-\frac{2}{7}\right)$$

Tuhia te 2\left(-\frac{2}{7}\right) hei hautanga kotahi.

$$p>\frac{2\left(-2\right)}{7}$$

Whakareatia te 2 ki te -2, ka -4.

$$p>\frac{-4}{7}$$

Ka taea te hautanga \frac{-4}{7} te tuhi anō ko -\frac{4}{7} mā te tango i te tohu tōraro.

$$p>-\frac{4}{7}$$