Question 269423
here is the problem:
(i) {{{ abs(7-x) < 6}}}  
we have to split and solve:
first 7-x < 6
second 7-x > - 6
---
step 1 - solve first equation  to get
(ii) {{{7-x < 6}}}
step 2 - subtract 7 to get
(iii) {{{- x < -1}}}
step 3 - divide by -1 to get
(iv) {{{x > 1}}}
---
step 4 - solve second equation  to get
(v) {{{7-x > -6}}}
step 2 - subtract 7 to get
(vi) {{{- x > -13}}}
step 3 - divide by -1 to get
(vii) {{{x < 13}}}
----
so
1 < x < 13.