-2* absolute value(5-x) is less than -6. Solve absolute value inequality.?

Answer 1

-2 |5 - x| < - 6

or |5 - x| > (-6)/(-2) because when you divide by a negative number the sense of the inequality changes.

then we have |5 - x| > 3

then 5 - x > 3 or 5 - x < - 3
because :

if |X| < a (positive number) then -a < X < a

and

if |X| > a then X > a or X < -a

Here we have now 5 > x + 3 or 5 < x - 3

The solutions are x < 2 or x > 8