Question

Solve for xxx.
-9x+5< 17\quad \maroonC{\text{ AND}} \quad 13x+25<-1−9x+5<17 AND13x+25<−1

Answer 1

Answer:

No solutions

Step-by-step explanation:

Solve for x the system of two inequalities:

$\left\{\begin{array}{l}-9x+5<17\\ \\13x+25<-1\end{array}\right.$

First, solve each inequality separately:

1.

$-9x+5<17\\ \\-9x+5-5<17-5\\ \\-9x<12\\ \\9x>-12\\ \\x>-\dfrac{4}{3}$

2.

$13x+25<-1\\ \\13x+25-25<-1-25\\ \\13x<-26\\ \\x<-2$

Now, we get

$x>-\dfrac{4}{3}$

and

$x<-2$

There are no common values for x, for which both inequalities hold, so the system of two inequalities has no solutions.