Question

Solve the inequality for y.-2y2-16Simplify your answer as much as possible.

Answer 1

Given the initial inequality

`-2y\ge-16`

Solve as shown below,

`\begin{gathered} -2y\ge-16 \\ \Rightarrow(-1)\cdot-2y\le(-1)\cdot-16 \\ \Rightarrow2y\le16 \\ \Rightarrow(1)/(2)\cdot2y\le(1)/(2)\cdot16 \\ \Rightarrow y\le(16)/(2)=8 \\ \Rightarrow y\le8 \end{gathered}`

The answer is y<=8