Question

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

Answer 1

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

Please check the attached graph.

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.