The Math Meridian
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Solve inequalities

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Learn it Solve an inequality like an equation to find the boundary, then decide which side of it works. Test a value to check.

Example: Find the greatest whole number x with $3x + 5 < 32$.

  1. Boundary: $3x + 5 = 32$ gives $x = 9$.
  2. We need values less than that: $x < 9$.
  3. The greatest whole number is 8. Check: $3 \times 8 + 5 = 29 < 32$ ✓.

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