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Varvara2001
@Varvara2001
August 2022
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Задание на 40 баллов с:
Решите системы неравенств:
а.) х[tex] \frac{x}{3} + \frac{x}{4} < 7 \\ 1 - \frac{x}{6} > 0[/tex]
б.)[tex]y - \frac{y-1}{2} > 0 \\ \frac{y}{3} < 5[/tex]
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Alexandr130398
A) x/3 + x/4<7
1 - x/6>0
x/3 + x/4 - 7<0 |*(12)
4x + 3x - 12*7<0
7x-84<0
7x<84
x<12
1 - x/6>0 |*6
6-x>0
x<6
отв:х<6
б) y-(y-1)/2>0 |*2
2y-y+1>0
y>-1
y/3<5 |*3
y<15
отв:-1<y<15
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Answers & Comments
1 - x/6>0
x/3 + x/4 - 7<0 |*(12)
4x + 3x - 12*7<0
7x-84<0
7x<84
x<12
1 - x/6>0 |*6
6-x>0
x<6
отв:х<6
б) y-(y-1)/2>0 |*2
2y-y+1>0
y>-1
y/3<5 |*3
y<15
отв:-1<y<15