Question

12a solve the inequality. x < -5 12b now, plot the inequality -4(3x - 5) > 80 on the number line below. make sure to use the correct type of endpoint.

Explanation:

Step1: Solve the inequality

$$\begin{align*} -4(3x - 5)&>80\\ -12x+20&>80\\ -12x&>80 - 20\\ -12x&>60\\ x&<- 5 \end{align*}$$

Step2: Analyze the endpoint

Since the inequality is \(x < - 5\), the endpoint \(x=-5\) is not included. So, we use an open - circle at \(x = - 5\).

Step3: Plot the direction

Since \(x < - 5\), we draw an arrow to the left of \(x=-5\) on the number line.

Answer:

On the number line, place an open - circle at \(-5\) and draw an arrow to the left.