Question

Which graph represents the solution to the inequality x+3 greater than or equal to 2?

Answer 1

Answer:

$x+3\ge 2=\begin{bmatrix}\mathrm{Solution:}\:&\:x\ge \:\:-1\:\\ \:\:\mathrm{Interval\:Notation:}&\:[-1,\:\infty \:\:)\end{bmatrix}$

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:

$x+3\ge 2$

Solving inequality

$x+3\ge 2$

subtract 3 from both sides

$x+3-3\ge \:2-3$

simplify

$x\ge \:-1$

Thus,

$x+3\ge 2=\begin{bmatrix}\mathrm{Solution:}\:&\:x\ge \:\:-1\:\\ \:\:\mathrm{Interval\:Notation:}&\:[-1,\:\infty \:\:)\end{bmatrix}$

Please check the attached graph.