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Inequalities (flipping the sign)

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Learn it Solve inequalities like equations, EXCEPT: multiplying or dividing both sides by a negative number flips the inequality sign.

Example: Solve $-4x + 7 > 19$.

  1. Subtract 7: $-4x > 12$.
  2. Divide by −4 and FLIP: $x < -3$.
  3. Check x = −4: $16 + 7 = 23 > 19$ ✓.

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