Asked by Simon
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
Pls I need answer with solution step
Answers
Answered by
Bosnian
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
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
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