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Finding the Inequality for a Set of Integer Solutions

Published on April 2, 2026

Algebra

Determine the correct inequality by identifying which expression contains the exact integer set negative two, negative one, zero, one, and two. The solution is found by evaluating the boundary conditions of each inequality to see which covers this specific range.

Question

Answer

To determine which inequality has as its only possible integer values, let’s analyze each option provided:
  1. :
    The integers satisfying this are . This does not include .
  2. :
    The integers satisfying this are . This includes extra values ( and ).
  3. :
    The integers satisfying this must be strictly greater than and less than or equal to . The integers are . This matches the set.
  4. :
    The integers satisfying this are strictly greater than and strictly less than . The integers are . This does not include and .
  5. :
    The integers satisfying this must be strictly greater than and less than or equal to . The integers are . This does not include .
Comparing these results, the inequality is the one that produces exactly the set .
The correct inequality is:
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