Question

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

Answer 1

Answer:

Please check the explanation.

Step-by-step 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

$\frac{5P}{5}>\frac{-6}{5}$

$P>-\frac{6}{5}$

Therefore,

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

The graph is also attached below.