Procedure:
0.
[tex]\begin{gathered} -x+5\le4 \\ -x+5\le4 \\ -x\le\: -1 \\ \mleft(-x\mright)\mleft(-1\mright)\ge\mleft(-1\mright)\mleft(-1\mright) \\ x\ge\: 1 \end{gathered}[/tex]Answer in interval notation: [1, ∞)
2.
[tex]\begin{gathered} 2x+3\ge-1 \\ 2x+3-3\ge\: -1-3 \\ 2x\ge\: -4 \\ \frac{2x}{2}\ge\frac{-4}{2} \\ x\ge\: -2 \end{gathered}[/tex]Answer in interval notation: [-2, ∞)
Final answer:
[tex]\lbrack1,\infty)[/tex]Summary:
0. We isolated ,x ,from the inequality by subtracting, multiplying, and dividing different numbers.
,1. We translated that inequality to interval notation
