The inequality is
Apply multiplication property of inequality: .
(Multiply each side by 7)
(Cancel common terms)
(Multiply:
)
The solution set is .
Graph the solution set on a number line.
Note: The point indicated with open circle is not included in the solution set.
Check:
\To check, substitute a number greater than 42 in inequality .
(Substitute
)
(Divide:
)
The inequality is true.
The graph of is
The inequality solution set is .