Question 635563

{{{abs(w-1)<=9}}} Start with the given inequality



Break up the absolute value (remember, if you have {{{abs(x)<= a}}}, then {{{x >= -a}}} and {{{x <= a}}})


{{{w-1 >= -9}}} and {{{w-1 <= 9}}} Break up the absolute value inequality using the given rule



{{{-9 <= w-1 <= 9}}} Combine the two inequalities to get a compound inequality




{{{-8 <= w <= 10}}} Add 1 to  all sides



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


Answer:


So the answer is


{{{-8 <= w <= 10}}}