Question

solve the inequality and graph the solution.
( s < 4 cdot 2 )
to draw a ray, plot an endpoint and select an arrow. select an endpoint to change it from closed to open. select the middle of the ray to delete it.
number line from 0 to 10
submit

Explanation:

Step1: Simplify the right - hand side

First, we need to calculate the value of \(4\cdot2\). According to the multiplication operation, \(4\times2 = 8\). So the inequality \(s < 4\cdot2\) simplifies to \(s < 8\).

Step2: Graph the solution

To graph the solution of the inequality \(s < 8\) on the number line:

• The endpoint is at \(8\). Since the inequality is strict (\(<\), not \(\leq\)), we use an open circle at \(8\) to indicate that \(8\) is not included in the solution set.
• Then, we draw an arrow to the left of \(8\) to show that all real numbers less than \(8\) are part of the solution.

Answer:

The solution to the inequality is \(s < 8\). To graph it, place an open circle at \(8\) on the number line and draw an arrow pointing to the left.