An electric device delivers a current of [tex]$15.0 A$[/tex] for 30 seconds. How many electrons flow through it?
Answer (1)
Rewrite the inequality: x l e − 3.6 .
Identify the key features of the graph: closed circle at -3.6, line extending to the left.
Choose the graph that matches these features.
The correct graph is the second one, so the answer is the second graph.
Explanation
Understanding the Inequality We are given the inequality − 3.6 g e x , which can be rewritten as x l e − 3.6 . This means we are looking for a number line where all values less than or equal to -3.6 are shaded.
Interpreting the Number Line The number line should have a closed circle (or bracket) at -3.6 to indicate that -3.6 is included in the solution. The line should extend to the left of -3.6, indicating all values less than -3.6.
Identifying the Correct Graph Looking at the provided options, the second graph has a closed bracket at -3.6 and extends to the left. Therefore, it represents the inequality x l e − 3.6 .
Examples
Understanding inequalities is crucial in many real-world scenarios. For example, when setting speed limits on roads, engineers use inequalities to define the range of safe speeds. Similarly, in finance, inequalities can help determine the minimum investment needed to reach a certain profit target. In everyday life, inequalities are used to compare prices, quantities, and distances, helping us make informed decisions.
