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(-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

(-usiba) 9-13d24-12a atiza324715 13a3 39 134/13230/13 13) 26 + m2 51-6 +3m) 14) 20 - 2p-example-1
User Epicwhale
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1 Answer

3 votes

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.

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