Solve the Inequality

What is the solution set of the inequality 4t + 2 < 8t - (6t - 10)?
A.)  (t | t < -6.5)
B.)  (t | t > -6.5)
C.)  (t | t < 4)
D.)  (t | t > 4)
E.)  no solution

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4t + 2 < 8t - (6t - 10)
4t + 2 < 8t - 6t + 10   {distributed negative sign through parentheses}
4t + 2 < 2t + 10   {combined like terms}
2t + 2 < 10   {subtracted 2t from each side}
2t < 8   {subtracted 2 from each side}
t < 4   {divided each side by 2}

C.)  (t | t < 4)

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