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Summary

  • Inequalities are statements where one quantity is less than (or equal to) or more than (or equal to) another quantity.
  • To find the solution space for any inequality, consider it as a linear equation and draw a line corresponding to that equation. Then, substitute zero in place of the variables in the inequality. If the inequality holds, then shade the side of the line having the origin, else shade the other side.
  • Adding or subtracting the same number on both sides of an inequality produces an equivalent inequality.
  • Multiplying or dividing the same positive number on both sides of an inequality produces an equivalent inequality.
  • Multiplying or dividing the same negative number on both sides of an inequality produces an inequality with the sign of the inequality reversed.




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