Question

I am trying to solve the inequality but it says my answer is wrong. please help

Answer 1

Explanation

We need to solve the following inequality:

$55c+13\leq75c+39$

We can substract 13 from both sides:

$\begin{gathered} 55c+13-13\leqslant75c+39-13 \\ 55c\leq75c+26 \end{gathered}$

Then we substract 75 from both sides:

$\begin{gathered} 55c-75c\leqslant75c+26-75c \\ -20c\leq26 \end{gathered}$

Now we can divide both sides by -20. Remember that when dividing or multiplying by a negative number we must change the inequality sign:

$\begin{gathered} -20c\leqslant26\Rightarrow\frac{-20c}{-20}\ge\frac{26}{-20} \\ c\ge-1.3 \end{gathered}$Answer

Then the answer is:

$c\ge-1.3$