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Galina-37 [17]
2 years ago
9

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

Mathematics
1 answer:
Vadim26 [7]2 years ago
5 0

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.

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