Part A:
Since Juanita had at first $25
Since she earns $11 per hour
Then her total earning in x hours is
[tex]11x+25[/tex]Since she needs at least $58 to buy new shoes
At least means greater than or equal, then the inequality should be
[tex]11x+25\ge58[/tex]Part B:
Let us solve it by subtracting 25 from each side
[tex]\begin{gathered} 11x+25-25\ge58-25 \\ 11x\ge33 \end{gathered}[/tex]Divide each side by 11
[tex]\begin{gathered} \frac{11x}{11}\ge\frac{33}{11} \\ x\ge3 \end{gathered}[/tex]Then the answer is the 3rd choice