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Solve the inequality and graph the solution.\newline2.5m - 1.5(2 - 3m) > 2(m + 1)\newlinePlot the endpoints. Select an endpoint to change it from closed to open. Select the middle of the segment, ray, or line to delete it.

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Q. Solve the inequality and graph the solution.\newline2.5m−1.5(2−3m)>2(m+1)2.5m - 1.5(2 - 3m) > 2(m + 1)\newlinePlot the endpoints. Select an endpoint to change it from closed to open. Select the middle of the segment, ray, or line to delete it.
  1. Simplify and Combine Terms: Simplify the left side of the inequality by distributing and combining like terms. \newline2.5m - 1.5(2 - 3m) > 2(m + 1)\newline2.5m - 3 + 4.5m > 2m + 2\newline7m - 3 > 2m + 2
  2. Isolate mm Terms: Subtract 2m2m from both sides to isolate the mm terms on one side.\newline7m - 3 - 2m > 2m + 2 - 2m\newline5m - 3 > 2
  3. Add to Isolate mm: Add 33 to both sides to further isolate the mm term.\newline5m - 3 + 3 > 2 + 3\newline5m > 5
  4. Divide to Solve for m: Divide both sides by 55 to solve for mm.\frac{5m}{5} > \frac{5}{5}m > 1

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