Question

Solve (x + 2 < 5) (x - 7 > -6).

{x | -6 < x < 5}
{x | x < 3 or x > 1}
{x | x < 0}

Answer 1

Solve (x + 2 < 5) (x - 7 > -6).

{x | -6 < x < 5}
{x | x < 3 or x > 1}
{x | x < 0}


$(x+2\ \textless \ 5) = x\ \textless \ 5-2=x\ \textless \ 3 \\ \\ \\ (x-7\ \textgreater \ -6) = x\ \textgreater \ -6+7= x\ \textgreater \ 1 \\ \\ \\ \boxed{{x | x \ \textless \ 3 \ or\ x \ \textgreater \ 1} } \quad \checkmark$