The equation is
Apply distributive property :a(b-c)=ab-ac
\ (Miltiply:
)
Apply Subtraction property of equality: Subtract g from eachside.
\ (Commutative property:a+b=b+a)
(Additive inverse property :
)
(Additive identity property
:)
(Subtract:
)
(Subtract 2 from each side)
(Additive inverse property :
)
(Additive identity property :
)
(Subtarct:
)
(Multiply each side by negative one and flip the sign)
(Product of two same signs is positive)
(Divide each side by 3)
(Cancel common terms)
(Divide:
)
Graph the solution set on a number line
\Note: A circle means that this point is not included in the solution set.
Check:
\To check, substitute 3, a number and greater than 2, in .
(Substitute
)
(Substract :
)
(Multiply:
)
The equlity is true.
\The inequality solution is .