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Question
Solve.
`|(8 - x)/2| = 5`
Sum
Solution
`|(8 - x)/2| = 5`
`=> (8 - x)/2 = +- 5`
`=> (8 - x)/2 = 5 or(8 - x)/2 = -5`
`=> (8 - x) = 5 xx 2 or (8 - x) = -5 xx 2` ...[multiplied by 2 on both sides]
⇒ `8 - x = 10 or 8 - x = -10`
⇒ `8 - 10 = x or 8 + 10 = x`
⇒ `-2 = x or 18 = x`
`therefore x = -2 or x = 18`
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Absolute Value of Real Numbers
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Chapter 2: Real Numbers - Practice Set 2.5 [Page 33]
