Question

. Solve the inequality and graph the solution: 2 (10 - x) < 4x

Answer 1

The given inequality is

`2(10-x)<4x`

First, we use the distributive property.

`20-2x<4x`

Then, we subtract 4x from each side.

`\begin{gathered} 20-2x-4x<4x-4x \\ 20-6x<0 \end{gathered}`

Then, we subtract 20 from each side.

`\begin{gathered} 20-20-6x<0-20 \\ -6x<-20 \end{gathered}`

At last, we divide the inequality by -6.

`\begin{gathered} -(6x)/(-6)>-(20)/(-6) \\ x>(10)/(3) \end{gathered}`

Hence, the solution is all real numbers greater than 10/3.