Question

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

Answer 1

Step-by-step 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(-20c)/(-20)\ge(26)/(-20) \\ c\ge-1.3 \end{gathered}`Answer

Then the answer is:

`c\ge-1.3`