Math Problem Statement
The solution of the inequality |x| ≤ 7 is the following interval. (Enter your answer using interval notation.)
Solution
The inequality means that the absolute value of is less than or equal to 7. This can be rewritten as:
Therefore, the solution in interval notation is:
Would you like further details or have any questions?
Here are 5 related questions you might find interesting:
- How would the interval change if the inequality was ?
- What is the solution to in interval notation?
- How do you solve inequalities with absolute values involving a variable on both sides, such as ?
- What is the graphical representation of the solution to ?
- How does the interval notation change if you replace the inequality with ?
Tip: Always remember that solving absolute value inequalities involves considering both the positive and negative scenarios for the expression inside the absolute value.
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Math Problem Analysis
Mathematical Concepts
Algebra
Inequalities
Absolute Value
Formulas
|x| ≤ a ⟶ -a ≤ x ≤ a
Theorems
Absolute Value Inequality Theorem
Suitable Grade Level
Grades 6-8