Answer:
[tex]C[/tex]Explanation:
Here, we start by solving each of the inequalities
Let us start with the left-hand side
We have that as follows:
[tex]\begin{gathered} 2(2x-1)+7\text{ }<\text{ 13} \\ 4x-2+7<13 \\ 4x<13+2-7 \\ 4x<8 \\ x\text{ }<\frac{8}{4} \\ x<2 \end{gathered}[/tex]For the right-hand side, we have the following:
[tex]\begin{gathered} -2x+5\leq\text{ -10} \\ -2x\leq\text{ -10-5} \\ -2x\leq-15 \\ x\ge\frac{15}{2}\text{ or 7.5} \end{gathered}[/tex]Now, let us plot a graph of the inequality as shown below:
The correct choice of option here is thus, the third option