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Sever21 [200]
3 years ago
7

which points are solutions to the system of inequalities shown below? y>x+1 y>3 x<5 A.(1,5) B.(0,6) C.(5,6) D.(3,5) E.(

4,1) F.(4,4) (Multiply answers, ive tried to understand this but I just don't get it)
Mathematics
1 answer:
PtichkaEL [24]3 years ago
6 0
1^o\ y \ \textgreater \  x+1;\\2^o\ y \ \textgreater \  3;\\3^o\ x \ \textless \  5\\\\A.\ (1;\ 5)\to x=1;\ y=5\\1^o\ 5 \ \textgreater \  1+1\to 5 \ \textgreater \  2\ OK\\2^o\ 5 \ \textgreater \  3\ OK\\3^o\ 1 \ \textless \  5\ OK\\\boxed{:)}\\B.\ (0;\ 6)\to x=0;\ y=6\\1^o\ 6 \ \textgreater \  0+1\to 6 \ \textgreater \  1\ OK\\2^o\ 6 \ \textgreater \  3\ OK\\3^o\ 0 \ \textless \  5\ OK\\\boxed{:)}
C.\ (5;\ 6)\to x=5;\ y=6\\1^o\ 6 \ \textgreater \  5+1\to 6 \ \textgreater \  6\ :(\\\\D.\ (3;\ 5)\to x=3;\ y=5\\1^o\ 5 \ \textgreater \  3+1\to 5 \ \textgreater \  4\ OK\\2^o\ 5 \ \textgreater \  3\ OK\\3^o\ 3 \ \textless \  5\ OK\\\boxed{:)}
E.\ (4;\ 1)\to x=4;\ y=1\\1^o\ 1 \ \textgreater \  4+1\to 1 \ \textgreater \  5 :(\\\\F.\ (4;\ 4)\to x=4;\ y=4\\1^o\ 4 \ \textgreater \  4+1\to 4 \ \textgreater \  5\ :(

Your\ answer:\\\boxed{A;\ B;\ D}
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