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#1
Take b=5,c=3
Lets verify
[tex]\\ \sf\longmapsto x=2[/tex]
[tex]\\ \sf\longmapsto |x-b|=c[/tex]
[tex]\\ \sf\longmapsto |2-5|=3[/tex]
[tex]\\ \sf\longmapsto |-3|=3[/tex]
Verified
#2
Take b=2,c=12
[tex]\\ \sf\longmapsto x=14[/tex]
[tex]\\ \sf\longmapsto |14-2|=12[/tex]
[tex]\\ \sf\longmapsto |12|=12[/tex]
Hence verified