Question

Need help with this problem

Answer 1

Solve each inequality:

`\begin{gathered} (1)/(4)x>-1 \\ \\ \text{Multiply both sides of the inequality by 4:} \\ 4\cdot(1)/(4)x>4\cdot(-1) \\ \\ x>-4 \end{gathered}`
`\begin{gathered} -2(x-1)\ge4 \\ \\ \text{Divide both sides of the inequality by -2 (change the inequality sign):} \\ (-2(x-1))/(-2)\le(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}`

Then, the solution for the compound inequality is:

[tex]-4And the graph is: