Answer:
No solutions
Step-by-step explanation:
Solve for x the system of two inequalities:
[tex]\left\{\begin{array}{l}-9x+5<17\\ \\13x+25<-1\end{array}\right.[/tex]
First, solve each inequality separately:
1.
[tex]-9x+5<17\\ \\-9x+5-5<17-5\\ \\-9x<12\\ \\9x>-12\\ \\x>-\dfrac{4}{3}[/tex]
2.
[tex]13x+25<-1\\ \\13x+25-25<-1-25\\ \\13x<-26\\ \\x<-2[/tex]
Now, we get
[tex]x>-\dfrac{4}{3}[/tex]
and
[tex]x<-2[/tex]
There are no common values for x, for which both inequalities hold, so the system of two inequalities has no solutions.
