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2 votes
Solve the following inequality.
2(P +1) + 3(P + 2 ) > 2

2 Answers

5 votes

Hey there!

2(p + 1) + 3(p + 2) > 2

= 2(p) + 2(1) + 3(p) + 3(2) > 2

= 2p + 2 + 3p + 6 > 2

= 5p + 8 > 2

SUBTRACT 8 to BOTH SIDES

5p + 8 - 8 > 2 - 8

CANCEL out: 8 - 8 because it gives you 1

KEEP: 2 - 8 because it help solve for the p-value

NEW EQUATION: 5p > 2 - 8

SIMPLIFY IT!

5p > -6

DIVIDE 5 to BOTH SIDES

5p/5 > -6/5

CANCEL out: 5/5 because it gives you 1

KEEP: -6/5 because it helps solve for the p-value.

We cannot do much to it so we will leave it alone.

Therefore, your answer should be: p > -6/5

It is an OPEN circle shaded to the RIGHT

Good luck on your assignment and enjoy your day!

~Amphitrite1040:)

User Thefonso
by
5.1k points
2 votes

2(P+1) + 3(P+2) > 2

2P + 2 + 3P + 6 > 2 ...... distribute

5P + 8 > 2 ..... combine like terms

5P+8 -8 > 2 -8 ..... subtract 8 from both sides

5P > -6

5P/5 > -6/5 ..... divide both sides by 5

P > -6/5

P > -1.2

Answer in fraction form: P > -6/5

Answer in decimal form: P > -1.2

User Leigh Shepperson
by
5.5k points