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Answer :

The given inequality is,

[tex]5(c+7)\leq15(c-3)[/tex]

The inequality can be solved as,

[tex]\begin{gathered} 5c+5\times7\leq15c-15\times3 \\ 5c+35\leq15c-45 \\ 35+45\leq15c-5c \\ 80\leq10c \\ \frac{80}{10}\leq c \\ 8\leq c \end{gathered}[/tex]

The solution of the inequality is 8≤ c.

Inequalities having ≤ or ≥ symbols is graphed using a solid line.

Draw a solid line passing through