Question

(-usiba) 9-13d24-12a atiza324715 13a3 39 134/13230/13 13) 26 + m2 51-6 +3m) 14) 20 - 2p + 2 1 3 4 5 6 0

Answer 1

The given expression is

`20-2p>-2(p+2)+4p`

First, we use the distributive property on the right side

`20-2p>-2p-4+4p`

Then, we combine like terms on the right side

`20-2p>2p-4`

Now, we subtract 2p from each side

`\begin{gathered} 20-2p-2p>2p-2p-4 \\ 20-4p>-4 \end{gathered}`

Let's subtract 20 from each side now

`\begin{gathered} 20-20-4p>-4-20 \\ -4p>-24 \end{gathered}`

At last, we divide the inequality by -4

`\begin{gathered} (-4p)/(-4)<(-24)/(-4) \\ p<6 \end{gathered}`

It's important to know that the inequality sign changes when we multiply the expression by a negative number.

The image below shows the solution graphically.