Question

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

Answer 1

$\dfrac{2}{5}(10x-20) \ \textgreater \ -44\ \ \ \ |use\ dustributive\ property:a(b-c)=ab-ac\\\\\dfrac{2\times10x}{5}-\dfrac{2\times20}{5} \ \textgreater \ -44\\\\\dfrac{2\times2x}{1}-\dfrac{2\times4}{1} \ \textgreater \ -44\\\\4x-8 \ \textgreater \ -44\ \ \ |add\ 8\ to\ both\ sides\\\\4x \ \textgreater \ -36\ \ \ \ |divide\ both\ sides\ by\ 4\\\\\huge\boxed{x \ \textgreater \ -9\to x\in(-9;\ \infty)}$