Let's begin by identifying key information given to us:
[tex]\begin{gathered} 2x-1<4 \\ -5x-3>-3 \\ \\ \end{gathered}[/tex]We will proceed to solve as shown below:
[tex]\begin{gathered} 2x-1<4 \\ \text{Add ''1'' to both sides, we have:} \\ 2x-1+1<4+1\Rightarrow2x<5 \\ 2x<5 \\ \text{Divide both sides by 2, we have:} \\ x<\frac{5}{2} \\ \\ -5x-3>-3 \\ \text{Add ''5x'' to both sides, we have:} \\ -5x+5x-3>-3+5x \\ -3>-3+5x \\ \text{Add ''3'' to both sides, we have:} \\ -3+3>-3+3+5x \\ 0>5x \\ \text{Divide both sides by 5, we have:} \\ \frac{0}{5}>\frac{5}{5}x \\ 0>x \\ x<0 \end{gathered}[/tex]The solution is given by the intersecting points of the 2 functions
[tex]\begin{gathered} \\ \lbrack0,-\infty\rbrack \end{gathered}[/tex]
