Question

2(P +1) + 3(P + 2 ) > 2
need help pls

Answer 1

Please check the explanation.

Explanation:

Given the expression

`2\left(P\:+1\right)\:+\:3\left(P\:+\:2\:\right)\:>\:2`

solving the expression

`2\left(P\:+1\right)\:+\:3\left(P\:+\:2\:\right)\:>\:2`

as

• 
  `2\left(P+1\right)+3\left(P+2\right)=5P+8`

so the expression becomes

`5P+8>2`

subtracting 8 from both sides

`5P+8-8>2-8`

`5P>-6`

Dividing both sides by 5

`(5P)/(5)>(-6)/(5)`

`P>-(6)/(5)`

Therefore,

`2\left(P+1\right)+3\left(P+2\right)>2\quad :\quad \begin{bmatrix}\mathrm{Solution:}\:&\:P>-(6)/(5)\:\\ \:\mathrm{Decimal:}&\:P>-1.2\\ \:\mathrm{Interval\:Notation:}&\:\left(-(6)/(5),\:\infty \:\right)\end{bmatrix}`

The graph is also attached below.