Answer:
[tex]x+3\ge 2=\begin{bmatrix}\mathrm{Solution:}\:&\:x\ge \:\:-1\:\\ \:\:\mathrm{Interval\:Notation:}&\:[-1,\:\infty \:\:)\end{bmatrix}[/tex]
Please check the attached graph.
Step-by-step explanation:
We know that 'greater than or equal' is represented as '≥'.
Thus, inequality ''x+3 greater than or equal to 2'' is represented as:
[tex]x+3\ge 2[/tex]
Solving inequality
[tex]x+3\ge 2[/tex]
subtract 3 from both sides
[tex]x+3-3\ge \:2-3[/tex]
simplify
[tex]x\ge \:-1[/tex]
Thus,
[tex]x+3\ge 2=\begin{bmatrix}\mathrm{Solution:}\:&\:x\ge \:\:-1\:\\ \:\:\mathrm{Interval\:Notation:}&\:[-1,\:\infty \:\:)\end{bmatrix}[/tex]
Please check the attached graph.