Solve the inequality Write the solution in interval notation

Solve the inequality. Write the solution in interval notation. [5-3x] lessthanorequalto 8

Solution

|5-3x| >= 8

let us take | | value negative

then

-(5-3x) >=8

(5-3x) <= -8

-3x <= -8 -5

3x <=-13

x <=13/3

when modulus is postive

(5-3x) >= 8

-3x >= 8-5

-3x >= 3

-x >=1

x<=-1

solution in interval notatio is (-infinte , -1] U [ 13/3, infinte)