331,326 views
31 votes
31 votes
X/13 - 10<-8 please

User Eightgate
by
2.7k points

1 Answer

13 votes
13 votes

given the inequality:


(x)/(13)-10<-8

first we can add 10 on both sides to get the following:


\begin{gathered} (x)/(13)-10+10<-8+10=2 \\ \Rightarrow(x)/(13)<2 \end{gathered}

next, we can multiply both sides by 13 to solve for x. Notice that since we are multiplying by a positive number, the inequality remains the same:


\begin{gathered} 13\cdot((x)/(13)<2) \\ \Rightarrow13\cdot(x)/(13)<2\cdot13 \\ \Rightarrow x<26 \end{gathered}

therefore, x <26

User Timothyjgraham
by
2.2k points