The inequality is .
Write as
The first inequality is .
Apply multiplication property of inequality : Multiply each side by 5.
\\
(Cancel common terms)
(Multiply:
)
(Subtract 2 from each side)
(Apply commutative property of addition:
)
(Apply additive inverse property:
)
(Apply additive identity property:
)
(Subtract:
)
(Divide each side by negative 3 and flip the symbol)
(Cancel common terms)
(Divide:
)
The next inequality is .
Apply multiplication property of inequality : Multiply each side by 5.
\ (Cancel common terms)
(Multiply:
)
(Subtract 2 from each side)
(Apply commutative property of addition:
)
(Apply additive inverse property:
)
(Apply additive identity property:
)
(Subtract:
)
(Divide each side by negative 3 and flip the symbol)
(Cancel common terms)
(Divide:
)
Graph the solution set on number line.
The inequality solution is .