Find all real number X Which satisfy the inequality 1/3(X+3)-1>1/5(X+6)

Pls I need answer with solution step

1 answer

1 / 3 ( x + 3 ) - 1 > 1 / 5 ( x + 6 )

Multiply both sides by 15

1 / 3 ( x + 3 ) ∙ 15 - 1 ∙ 15 > 1 / 5 ( x + 6 ) ∙ 15

5 ( x + 3 ) - 15 > 3 ( x + 6 )

5 x + 15 - 15 > 3 x + 18

5 x > 3 x + 18

5 x - 3 x > 18

2 x > 18

x > 18 / 2

x > 9