Question

solve -15_< 3(x-2)/5 <0​

Answer 1

Answer:

3(x−2)÷5

≤

3

5(2−x)

⇒9(x−2)≤25(2−x)

⇒9x−18+25x≤50

⇒34x−18≤50

⇒34x≤50+18

⇒34x≤68

⇒

34

34x

≤

34

68

⇒x≤2

Thus, all real numbers, x, which are less than or equal to 2, are the solutions of the given hence the solution set of the given inequality is (−∞,2].