Given the inequalities:
[tex]4x-3\le13\text{ and -}x-5<-5[/tex]
First, we solve each of the inequality:
[tex]\begin{gathered} 4x-3\le13\text{ and -}x-5<-5 \\ 4x\le13+3\text{ and }-5+50 \end{gathered}[/tex]
The solution in interval notation is:
[tex](-\infty,4\rbrack\cap(0,\infty)=(0,4\rbrack[/tex]
Next, we plot the graph.
Note that since we have the word 'AND', the graph will show only the region satisfied by the two inequalities.
