Question

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)

Answer 1

$1^o\ y \ \textgreater \ x+1;\\2^o\ y \ \textgreater \ 3;\\3^o\ x \ \textless \ 5\\\\A.\ (1;\ 5)\to x=1;\ y=5\\1^o\ 5 \ \textgreater \ 1+1\to 5 \ \textgreater \ 2\ OK\\2^o\ 5 \ \textgreater \ 3\ OK\\3^o\ 1 \ \textless \ 5\ OK\\\boxed{:)}\\B.\ (0;\ 6)\to x=0;\ y=6\\1^o\ 6 \ \textgreater \ 0+1\to 6 \ \textgreater \ 1\ OK\\2^o\ 6 \ \textgreater \ 3\ OK\\3^o\ 0 \ \textless \ 5\ OK\\\boxed{:)}$
$C.\ (5;\ 6)\to x=5;\ y=6\\1^o\ 6 \ \textgreater \ 5+1\to 6 \ \textgreater \ 6\ :(\\\\D.\ (3;\ 5)\to x=3;\ y=5\\1^o\ 5 \ \textgreater \ 3+1\to 5 \ \textgreater \ 4\ OK\\2^o\ 5 \ \textgreater \ 3\ OK\\3^o\ 3 \ \textless \ 5\ OK\\\boxed{:)}$
$E.\ (4;\ 1)\to x=4;\ y=1\\1^o\ 1 \ \textgreater \ 4+1\to 1 \ \textgreater \ 5 :(\\\\F.\ (4;\ 4)\to x=4;\ y=4\\1^o\ 4 \ \textgreater \ 4+1\to 4 \ \textgreater \ 5\ :($

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