Question

8-5(x+2)<-5 what is the inequality with a line graph

Answer 1

The expression for the inequality is:

`8-5(x+2)<-5`

We need to find which line represents this inequality. To do that we will use the left side of the inequality and rewrite it as a slope-intercept form. Which is done below:

`\begin{gathered} y(x)=8-5(x+2) \\ y(x)=8-5x-10 \\ y(x)=-5x-2 \end{gathered}`

The line for this inequality is "-5x -2". Where the slope is -5 and the y-intercept is -2. We can graph it as shown below: