Answer:
Please check the explanation.
Step-by-step explanation:
Given the expression
[tex]2\left(P\:+1\right)\:+\:3\left(P\:+\:2\:\right)\:>\:2[/tex]
solving the expression
[tex]2\left(P\:+1\right)\:+\:3\left(P\:+\:2\:\right)\:>\:2[/tex]
as
- [tex]2\left(P+1\right)+3\left(P+2\right)=5P+8[/tex]
so the expression becomes
[tex]5P+8>2[/tex]
subtracting 8 from both sides
[tex]5P+8-8>2-8[/tex]
[tex]5P>-6[/tex]
Dividing both sides by 5
[tex]\frac{5P}{5}>\frac{-6}{5}[/tex]
[tex]P>-\frac{6}{5}[/tex]
Therefore,
[tex]2\left(P+1\right)+3\left(P+2\right)>2\quad :\quad \begin{bmatrix}\mathrm{Solution:}\:&\:P>-\frac{6}{5}\:\\ \:\mathrm{Decimal:}&\:P>-1.2\\ \:\mathrm{Interval\:Notation:}&\:\left(-\frac{6}{5},\:\infty \:\right)\end{bmatrix}[/tex]
The graph is also attached below.
