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}

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)****Ask Algebra House**