The inequality is .
Apply addition property of inequality: Add 4.7 to each side.
\
(Add:
)
(Additive inverse property:
)
(Additive identity property:
)
(Subtract 5.6z from each side)
(Commutative property: a+b=b+a)
(Additive inverse property:
)
(Additive identity property:
)
(Subtract:
)
(Divide each side by 3.1)
(Divide:
)
(Cancel common terms)
(Multiply each side by negative sign)
(Product of two same signs is positive)
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 lessthan -3 in
(Multiply:
)
(Subtract:
)
(Add:
)
The solution set is .