Question

What does x = to in the equation 4x +4<9x +8?

Answer 1

The given inequality is expressed as

`4x\text{ + 4 }\leq\text{ 9x + 8}`

The first step is to collect like terms. Thus, we have

`\begin{gathered} 4x\text{ - 9x }\leq\text{ 8 - 4} \\ -\text{ 5x }\leq\text{ 4} \\ \end{gathered}`

We would find x by dividing both sides of the inequality by - 5. Since - 5 is negative, the inequality symbol would be reversed. Thus, we have

`\begin{gathered} \frac{-\text{ 5x}}{-\text{ 5}}\ge\frac{4}{-\text{ 5}} \\ x\text{ }\ge\text{ }\frac{-\text{ 4}}{5} \end{gathered}`