Math Problem Statement

Write the following in interval notation: 11>xor25≤x11>xor25≤x

Solution

To express the given condition 11>x11 > x or 25x25 \leq x in interval notation:

  1. The inequality 11>x11 > x translates to x(,11)x \in (-\infty, 11).
  2. The inequality 25x25 \leq x translates to x[25,)x \in [25, \infty).
  3. Since the condition uses "or", we take the union of these intervals.

Final Answer:
(,11)[25,)(-\infty, 11) \cup [25, \infty)

Would you like a detailed explanation of how to solve this or examples of similar problems?

Related Questions:

  1. What is the difference between "and" and "or" in set notation?
  2. How would you express 11x2511 \leq x \leq 25 in interval notation?
  3. Can you solve an example with "and" instead of "or"?
  4. How do you graph this inequality on a number line?
  5. What happens if 11=x11 = x is included in the first inequality?

Tip: Always check whether the inequalities involve inclusive (,\leq, \geq) or exclusive (<,><, >) bounds when writing

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Math Problem Analysis

Mathematical Concepts

Inequalities
Interval Notation
Set Theory

Formulas

-

Theorems

Union of Intervals in Set Theory

Suitable Grade Level

Grades 9-10