[tex]\huge\text{Hey there!}[/tex]
[tex]\rm{-2x + 4 > 8}[/tex]
[tex]\large\textsf{SUBTRACT 4 to BOTH SIDES}[/tex]
[tex]\rm{-2x + 4 - 4 > 8 - 4}[/tex]
[tex]\large\textsf{CANCEL puts 4 - 4 because that gives you 0}[/tex]
[tex]\large\textsf{KEEP: 8 - 4 because that helps solve for the x-value}[/tex]
[tex]\rm{8 - 4 = \boxed{\bf 4}}[/tex]
[tex]\rm{NEW\ EQUATION: -2x > 4}[/tex]
[tex]\large\textsf{DIVIDE -2 to BOTH SIDES}[/tex]
[tex]\mathsf{\dfrac{-2}{-2}>\dfrac{4}{-2}}[/tex]
[tex]\mathsf{CANCEL\ out: \dfrac{-2}{-2}\ because\ that\ gives\ you\ 1}[/tex]
[tex]\mathsf{KEEP: \dfrac{4}{-2} \ because \ it \ helps \you \ compare\ to \ the \ x-value }[/tex]
[tex]\mathsf{\dfrac{4}{-2} = \boxed{\bf -2}}[/tex]
[tex]\rm{\bold{x < -2 }}[/tex]
[tex]\rm{It\ is \ an\ O PENED \ circle \ shaded \ to \ the \ left \ side \ of \ the \ number \ line}[/tex]
[tex]\boxed{\boxed{\large\textsf{Answer: } \mathsf{\bf x < -2}}}\huge\checkmark[/tex]
[tex]\large\text{Good luck on your assignment and enjoy your day!}[/tex]
~[tex]\frak{Amphitrite1040:)}[/tex]
