Question

Solve for p.

2p+3>2(p−3)



no solution

p>−9

all real numbers

p>−3

Answer 1

all real numbers............

Answer 2

Option C.

Explanation:

The given inequality is

`2p+3>2(p-3)`

We need to find the solutions of this inequality.

Using distributive property we get

`2p+3>2(p)+2(-3)`

`2p+3>2p-6`

Subtract 2p from both sides.

`2p+3-2p>2p-6-2p`

`3>-6`

This inequality is free from variable p and it is true for any value of p.

The solution set of given inequality is the set of all real numbers. Therefore the correct option is C.