Question

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

Answer 1

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

Answer 2

Answer: $-1\frac{1}{5}$

Step-by-step 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

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

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.

$-\frac{6}{5}=-\frac{5}{5}-\frac{1}{5}$

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

$-1-\frac{1}{5}=-1\frac{1}{5}$