Multiple Choice
Solve the inequality. Express the solution set in interval notation and graph.
1. Equations and Inequalities
Linear Inequalities
Struggling with Precalculus?
Join thousands of students who trust us to help them ace their exams!Watch the first videoMultiple Choice
Express the given set in interval notation and graph.
A
(−∞,7]
B
[−∞,7]
C
(−∞,7)
D
[7, ∞)
Verified step by step guidance1
Identify the inequality given in the set notation: \( x \leq 7 \). This means all values of \( x \) are less than or equal to 7.
Understand that the interval notation for \( x \leq 7 \) is \((-\infty, 7]\). The parenthesis \((-\infty\) indicates that infinity is not a number and cannot be included, while the bracket \([7]\) indicates that 7 is included in the set.
Examine the graph provided: The graph shows a line extending to the left from 7, with a solid dot at 7, indicating that 7 is included in the interval.
Recognize that the correct interval notation based on the graph is \((-\infty, 7]\), which matches the inequality \( x \leq 7 \).
Choose the correct answer from the options given: \((-\infty, 7]\) is the correct interval notation for the set \( \{ x \mid x \leq 7 \} \).
Related Videos
Related Practice
Linear Inequalities practice set
Problem sets built by lead tutorsExpert video explanations