Question

Can someone help me solve the inequality-2x+4>8 with the steps? Thanks

Answer 1

`\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:)}`