Question - Expressing and Graphing Inequalities on Number Lines
Solution:
The image displays a question asking to write the set in interval notation and graph the set on a number line given the inequality x ≤ 19/6.To write the set in interval notation:1. Solve the inequality for x. In this case, the inequality is already solved, stating x is less than or equal to 19/6.2. Express the inequality in interval notation. Since x can take on any value less than or equal to 19/6, the interval notation is (-∞, 19/6].In interval notation, a square bracket [ or ] indicates that the endpoint is included in the interval (this is the case for 19/6), while a parenthesis ( or ) indicates that the endpoint is not included.For the graph on the number line:1. Find the point corresponding to 19/6 on the number line.2. Since x can be any number less than or equal to 19/6, shade the number line to the left of 19/6 towards negative infinity.3. At the point 19/6, use a closed dot or bracket to indicate that this endpoint is included in the interval.I hope this helps you understand how to express the solution and graph it. If you need any further assistance, feel free to ask.
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