Respuesta :
Step-by-step explanation:
[tex]-x+8>6\qquad\text{subtract 8 from both sides}\\\\-x+8-8>6-8\\\\-x>-2\qquad\text{change the signs}\\\\x<2\to x\in(-\infty,\ 2)[/tex]
[tex]\text{Hey there!}[/tex]
[tex]\text{The opposite of addition is \bf{SUBTRACTION}}[/tex]
[tex]\text{So, subtract by 8 on each of your sides}[/tex]
[tex]\text{Like}\downarrow\\\text{-x + 8 - 8 }>\text{ 6 - 8}[/tex]
[tex]\text{Cancel out: 8 - 8 because it is 0}\\\text{Keep: 6 - 8 because it helps us solve for the answer}[/tex]
← [tex]\text{6 - 8 = -2}[/tex]
[tex]\text{We understood that -x is an invisible -1 }[/tex]
[tex]\text{Next step is to DIVIDE both sides by -1}[/tex]
[tex]\dfrac{\text{-x}}{-1}>\dfrac{-2}{-1}[/tex]
[tex]\text{Cancel out: }\dfrac{-\text{x}}{-1}\text{ because that gives you the result of 1}\\\text{Keep:} \dfrac{-2}{-1}\text{ because it helps us find the answer. It equals 2}[/tex]
[tex]\boxed{\boxed{{\bf{Answer: x<2}}}}\checkmark[/tex]
[tex]\checkmark\text{Note: it is an 0PEN circle shaded to the LEFT}\checkmark[/tex]
[tex]\text{Good luck on your assignment and enjoy your day!}[/tex]
~[tex]\frak{LoveYourselfFirst:)}[/tex]