Answer:
w > -1
Step-by-step explanation:
Hello There!
We want to simplify this expression to be more specific we want to isolate the variable (w) using inverse operations
So we want to get rid of the 8 in 8w
8w is the same as 8 times w (multiplication)
The inverse of multiplication is division so to get rid of the 8 we want to divide by 8 but remember whatever we do to one side we want to do to the other side. So we divide each side by 8
-8/8 = - 1
8w/8=w
we're left with w > -1
[tex]\huge\text{Hey there!}[/tex]
[tex]\mathsf{-8 < 8w}[/tex]
[tex]\large\text{TURN/FLIP the given EQUATION around}[/tex]
[tex]\mathsf{8w > -8}[/tex]
[tex]\large\text{DIVIDE 8 to BOTH SIDES}[/tex]
[tex]\mathsf{\dfrac{8w}{8}>\dfrac{-8}{8}}[/tex]
[tex]\large\text{Cancel out: }\mathsf{\dfrac{8}{8}}\large\text{ because that gives you 1}[/tex]
[tex]\large\text{Keep: } \mathsf{\dfrac{-8}{8}}\large\text{ because that helps you compare to the w-value}[/tex]
[tex]\large\text{New equation: } \mathsf{w>\dfrac{-8}{8}}[/tex]
[tex]\mathsf{\dfrac{-8}{8}=\bf -1}[/tex]
[tex]\mathsf{w>-1}[/tex]
[tex]\mathsf{It\ is\ an\ O P E N\ circle\ shaded\ to\ the\RIGHT\, starting\ at\ the\ -1}[/tex]
[tex]\boxed{\boxed{\large\text{Therefore, your \underline{answer} is: }\mathsf{\bf w > -1}}}\huge\checkmark[/tex]
[tex]\text{Good luck on your assignment and enjoy your day!}[/tex]
~[tex]\frak{Amphitrite1040:)}[/tex]
