Math Problem Statement

Circle the numbers that satisfy the inequality x ≤ 10 from the given set of numbers (7, 16, 4, 10).

Solution

The inequality given in the box is x10x \leq 10, meaning that xx can be any number less than or equal to 10.

Looking at the numbers provided (7, 16, 4, 10), we need to identify which of these satisfy x10x \leq 10.

  • 7: This is less than 10, so it satisfies the inequality.
  • 16: This is greater than 10, so it does not satisfy the inequality.
  • 4: This is less than 10, so it satisfies the inequality.
  • 10: This is equal to 10, so it satisfies the inequality.

Therefore, the numbers that should be circled are 7, 4, and 10.

Would you like further details or have any questions?

Here are 5 related questions:

  1. What does x10x \geq 10 mean in an inequality?
  2. Can inequalities have decimal or fractional solutions?
  3. How would the inequality change if it was x<10x < 10 instead?
  4. What happens if the inequality is x16x \geq 16 for the same set of numbers?
  5. How would you represent x10x \leq 10 on a number line?

Tip: When dealing with inequalities, remember to pay close attention to whether the inequality includes or excludes the boundary number (like \leq versus <<).

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Math Problem Analysis

Mathematical Concepts

Inequalities
Number Sense

Formulas

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Theorems

Properties of Inequalities

Suitable Grade Level

Grades 5-6