Back to Equations and Inequalities

Solve and graph inequalities

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Learn it Solve like an equation, but flip the inequality sign when you multiply or divide by a negative. On a number line: open dot for < or >, filled dot for ≤ or ≥.

Example: $-2x + 3 \le 11$

  1. Subtract 3: $-2x \le 8$.
  2. Divide by −2 and flip: $x \ge -4$.
  3. Graph: filled dot at −4, arrow to the right.

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