Question 1201617
.
<pre>

Inequality  5 < x < 7  is EQUIVALENT to (= is the same as; = has the same solution set as)

the inequality  |x-6 | < 1,  which is of the form you want.


As "b", you take the central point between the end-points 5 and 7:  b = {{{(5+7)/2}}} = 6.


As "c", you take the distance from mid-point "b" to any of the two end-points.

So,  c = {{{(7-5)/2}}} = {{{2/2}}} = 1.
</pre>

Solved, with explanations.


-------------------


To see many other similar and different SOLVED problems on absolute value inequalities, &nbsp;look into the lesson

&nbsp;&nbsp;&nbsp;&nbsp;- <A HREF=https://www.algebra.com/algebra/homework/Inequalities/Solving-absolute-value-inequalities-IK.lesson>Solving absolute value inequalities</A> 

in this site.