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
A.) (t | t < -6.5)
B.) (t | t > -6.5)
C.) (t | t < 4)
D.) (t | t > 4)
E.) no solution
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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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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