205k views
3 votes
Can someone help me solve the inequality-2x+4>8 with the steps? Thanks

User Caxapexac
by
3.7k points

1 Answer

1 vote


\huge\text{Hey there!}


\rm{-2x + 4 > 8}


\large\textsf{SUBTRACT 4 to BOTH SIDES}


\rm{-2x + 4 - 4 > 8 - 4}


\large\textsf{CANCEL puts 4 - 4 because that gives you 0}


\large\textsf{KEEP: 8 - 4 because that helps solve for the x-value}


\rm{8 - 4 = \boxed{\bf 4}}


\rm{NEW\ EQUATION: -2x > 4}


\large\textsf{DIVIDE -2 to BOTH SIDES}


\mathsf{(-2)/(-2)>(4)/(-2)}


\mathsf{CANCEL\ out: (-2)/(-2)\ because\ that\ gives\ you\ 1}


\mathsf{KEEP: (4)/(-2) \ because \ it \ helps \you \ compare\ to \ the \ x-value }


\mathsf{(4)/(-2) = \boxed{\bf -2}}


\rm{\bold{x < -2 }}


\rm{It\ is \ an\ O PENED \ circle \ shaded \ to \ the \ left \ side \ of \ the \ number \ line}


\boxed{\boxed{\large\textsf{Answer: } \mathsf{\bf x < -2}}}\huge\checkmark


\large\text{Good luck on your assignment and enjoy your day!}

~
\frak{Amphitrite1040:)}

User Robin Clowers
by
3.2k points