Question

Solve the following inequality showing all steps -3n+7<4

Answer 1

`\textsf{Hey there!}`

`\mathsf{-3n + 7 < 4}\\\\\textsf{SUBTRACT by 7 on your sides}\\\mathsf{-3n+7-7<4-7}\\\mathsf{Cancel\ out: 7-7\ because\ that\ gives\ you\ 0}\\\mathsf{Keep: 4-7\ because\ it\ helps\ us\ solve\ for\ our\ n \ value}\\\bf{{\mathsf{4-7= -3}}}\\\\\mathsf{New\ question: -3n<-3}\\\\\mathsf{DIVIDE\ both\ sides\ by\ -3}\\\mathsf{(-3n)/(-3)=(-3)/(-3)}\\\mathsf{Cancel\ out: (-3)/(-3) \ because\ gives\ us\ 1}\\\mathsf{Keep: (-3)/(-3)\ because\ it\ gives\ us\ our\ n\ value}`

`\mathsf{New\ equation: n < (-3)/(-3)}\\\mathsf{(-3)/(-3) = -3/-3 \rightarrow 1}\\\\\huge\textsf{Answer}\huge\downarrow\\\\\boxed{\boxed{\mathsf{Answer: n < 1}}}\checkmark\\\\\\\\\textsf{Good luck on your assignment and enjoy your day!}\\\\\frac{\frak{LoveYourselfFirst}}{:)}`