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

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

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:)

step-by-step explanation:

1     sepan

2     encuentren

3     tenga

4     hable

5   parezca

6   llegue