Question

Solve the inequality 2 (x - 2) + 8.6 < 14

Answer 1

The inequality to solve is:

`2(x-2)+8.6<14`

First we distribute the 2 inside the parenthesis, we get:

`\begin{gathered} 2(x-2)+8.6<14 \\ 2x-4+8.6<14 \end{gathered}`

We collect like terms and solve for x:

`\begin{gathered} 2x-4+8.6<14 \\ 2x<14+4-8.6 \\ 2x<9.4 \\ x<(9.4)/(2) \\ x<4.7 \end{gathered}`

x is less than 4.7