Solve each inequality:
[tex]\begin{gathered} \frac{1}{4}x>-1 \\ \\ \text{Multiply both sides of the inequality by 4:} \\ 4\cdot\frac{1}{4}x>4\cdot(-1) \\ \\ x>-4 \end{gathered}[/tex][tex]\begin{gathered} -2(x-1)\ge4 \\ \\ \text{Divide both sides of the inequality by -2 (change the inequality sign):} \\ \frac{-2(x-1)}{-2}\le\frac{4}{-2} \\ \\ x-1\le-2 \\ \\ Add\text{ 1 in both sides of the equation:} \\ x-1+1\le-2+1 \\ x\le-1 \end{gathered}[/tex]
Then, the solution for the compound inequality is:
[tex]-4And the graph is:
