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Solve for tt.\newline-5.1 - 8.7t < -5(0.2t - 19)\newlineWrite your answer using a decimal, whole number, or fraction in lowest terms.

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Full solution

Q. Solve for tt.\newline−5.1−8.7t<−5(0.2t−19)-5.1 - 8.7t < -5(0.2t - 19)\newlineWrite your answer using a decimal, whole number, or fraction in lowest terms.
  1. Distribute and Simplify: Simplify the right side of the inequality by distributing −5-5 into the parentheses.\newline-5.1 - 8.7t < -5(0.2t - 19)\newline-5.1 - 8.7t < -1t + 95
  2. Combine Like Terms: Combine like terms on the right side.\newline-5.1 - 8.7t < -1t + 95\newline-5.1 < 7.7t + 95
  3. Isolate the Term: Isolate the term containing tt by subtracting 9595 from both sides.\newline-5.1 - 95 < 7.7t\newline-100.1 < 7.7t
  4. Divide to Solve: Divide both sides by 7.77.7 to solve for tt.-100.1 / 7.7 < tt > -13.013

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