Question

Solving inequalities by multiplication and division 1. -8 < 8w

Answer 1

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

Answer 2

$\huge\text{Hey there!}$

$\mathsf{-8 < 8w}$

$\large\text{TURN/FLIP the given EQUATION around}$

$\mathsf{8w > -8}$

$\large\text{DIVIDE 8 to BOTH SIDES}$

$\mathsf{\dfrac{8w}{8}>\dfrac{-8}{8}}$

$\large\text{Cancel out: }\mathsf{\dfrac{8}{8}}\large\text{ because that gives you 1}$

$\large\text{Keep: } \mathsf{\dfrac{-8}{8}}\large\text{ because that helps you compare to the w-value}$

$\large\text{New equation: } \mathsf{w>\dfrac{-8}{8}}$

$\mathsf{\dfrac{-8}{8}=\bf -1}$

$\mathsf{w>-1}$

$\mathsf{It\ is\ an\ O P E N\ circle\ shaded\ to\ the\RIGHT\, starting\ at\ the\ -1}$

$\boxed{\boxed{\large\text{Therefore, your \underline{answer} is: }\mathsf{\bf w > -1}}}\huge\checkmark$

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

~$\frak{Amphitrite1040:)}$