Question

solve : |x-18|<4

Answer 1

this script would help u :
|x-18|<4

Remove the absolute value term. This creates a \ on the right-hand side of the equation because |x|=\x.
x-18<\(4)

Set up the portion of the \ solution.
x-18<4

Move all terms not containing x to the right-hand side of the inequality.
x<22

Set up the - portion of the \ solution. When solving the - portion of an inequality, flip the direction of the inequality sign.
x-18>-(4)

Multiply -1 by the 4 inside the parentheses.
x-18>-4

Since -18 does not contain the variable to solve for, move it to the right-hand side of the inequality by adding 18 to both sides.
x>18-4

Subtract 4 from 18 to get 14.
x>14

The solution to the inequality includes both the positive and negative versions of the absolute value.
x<22 and x>14

The solution is the set of values where x<22 and x>14.
14<x<22

Answer 2

thanks

Answer 3

my pleasure

Answer 4

-4< x-18 <4
14 < x < 22