Whakaoti mō x
x\leq 19
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Tohaina
Kua tāruatia ki te papatopenga
50\left(\frac{x}{5}+\frac{10}{2}\right)\geq 20x+2\times 30
Me whakarea ngā taha e rua o te whārite ki te 10, arā, te tauraro pātahi he tino iti rawa te kitea o 5,2. I te mea he tōrunga te 10, kāore e huri te ahunga koreōrite.
50\left(\frac{x}{5}+5\right)\geq 20x+2\times 30
Whakawehea te 10 ki te 2, kia riro ko 5.
50\times \frac{x}{5}+250\geq 20x+2\times 30
Whakamahia te āhuatanga tohatoha hei whakarea te 50 ki te \frac{x}{5}+5.
10x+250\geq 20x+2\times 30
Whakakorea atu te tauwehe pūnoa nui rawa 5 i roto i te 50 me te 5.
10x+250\geq 20x+60
Whakareatia te 2 ki te 30, ka 60.
10x+250-20x\geq 60
Tangohia te 20x mai i ngā taha e rua.
-10x+250\geq 60
Pahekotia te 10x me -20x, ka -10x.
-10x\geq 60-250
Tangohia te 250 mai i ngā taha e rua.
-10x\geq -190
Tangohia te 250 i te 60, ka -190.
x\leq \frac{-190}{-10}
Whakawehea ngā taha e rua ki te -10. I te mea he tōraro a -10, ka huri te ahunga koreōrite.
x\leq 19
Whakawehea te -190 ki te -10, kia riro ko 19.
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