Question

Find the graph of the solution to the inequality. 2x - 35x + 6

Answer 1

Given an inequality, the approach is simply to manipulate the inequality, adding and subtracting from both sides of the inequality to get a simple value.

`\begin{gathered} 2x-3\ge5x+6 \\ \text{Add 3 to both sides to get:} \\ 2x\ge5x+9 \\ \text{Subtract 5x from both sides to get:} \\ 2x-5x\ge9 \\ -3x\ge9 \\ \text{Divide both sides by -3 (this alters the inequality and changes it to the opposite sign)} \\ x\le-3 \end{gathered}`

Hence, our inequality on the number line will be such that the arrow goes leftwards from -3

OPTION C