How do you solve $| k - 5 | = 4$ $abs(k-5)=4$ ?

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How do you solve $| k - 5 | = 4$ $abs(k-5)=4$ ?

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Answer 1 · 2017-08-21T17:54:57

Given: $| k - 5 | = 4$ $abs(k-5)=4$

You can break the above equation into two equations without the absolute value function, one where the right side is positive, and the other where the right side is negative:

$k - 5 = 4 and k - 5 = - 4$ $k-5 = 4 and k - 5 = -4$

Add 5 to both sides of both equations:

$k = 9 and k = 1$ $k = 9 and k = 1$

Check $k = 9$ $k =9$

$| 9 - 5 | = 4$ $|9 - 5| = 4$

$| 4 | = 4$ $|4| = 4$

$4 = 4$ $4 = 4$

Check k = 1:

$| 1 - 5 | = 4$ $|1-5| = 4$

$| - 4 | = 4$ $|-4| = 4$

$4 = 4$ $4 = 4$

Both values check.

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How do you solve $| k - 5 | = 4$ $abs(k-5)=4$ ?

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How do you solve |k−5|=4abs(k-5)=4?

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How do you solve $| k - 5 | = 4$ $abs(k-5)=4$ ?