Question

7) 2x – (–17) = 15 

8) |x – 2| = 3.

9) | x – 3| –7 = 13

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Answer 1

7) 2x – (–17) = 15 

\(2x=-2\)

\(x=-1\)

8) |x – 2| = 3.

\(\Rightarrow\orbr{\begin{cases}x-1=3\\x-1=-3\end{cases}\Leftrightarrow\orbr{\begin{cases}x=4\\x=-2\end{cases}}}\)

9) | x – 3| –7 = 13

\(\text{ | x – 3|}=20\)

\(\Rightarrow\orbr{\begin{cases}x-3=20\\x-3=-20\end{cases}}\Leftrightarrow\orbr{\begin{cases}x=23\\x=-17\end{cases}}\)

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