Question

Solve the following inequality. Then place the correct answer in the box provided. Answer in terms of a mixed number.

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

Answer 1

Answer:
`-1(1)/(5)`

Explanation:

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

Distribute 2 and 3

`2P+2+3P+6>2`

Combine like terms;

`5P+8>2`

Subtract 8

`5P>2-8`

`5P>-6`

Divide by 5

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

Convert to a mixed number by dividing. However, when we have the numerator greater than the denominator, we must find a way to make the numerator lower. We can achieve this by separating it into 2 fractions.

`-(6)/(5)=-(5)/(5)-(1)/(5)`

When we do this, we can see that 5/5 = 1

`-1-(1)/(5)=-1(1)/(5)`

Answer 2

2P + 2 + 3P + 6 > 2
5P + 8 > 2
Subtract 8 from both sides.
5P > -6
Divide each side by 5.
P > -6/5