Question

Solve 2/5(10x-20)>-44

Answer 1

`(2)/(5)(10x-20) \ \textgreater \ -44\ \ \ \ |use\ dustributive\ property:a(b-c)=ab-ac\\\\(2*10x)/(5)-(2*20)/(5) \ \textgreater \ -44\\\\(2*2x)/(1)-(2*4)/(1) \ \textgreater \ -44\\\\4x-8 \ \textgreater \ -44\ \ \ |add\ 8\ to\ both\ sides\\\\4x \ \textgreater \ -36\ \ \ \ |divide\ both\ sides\ by\ 4\\\\\huge\boxed{x \ \textgreater \ -9\to x\in(-9;\ \infty)}`