2 (t+5) > 4t-7 (t+3)

2 (t+5) > 4t-7 (t+3)

distribute

2t+10> 4t - 7t-21

2t+10> - 3t-21

add 3t to each side

5t+10>-21

subtract 10 from each side

5t>-31

divide by 5

t>-31/5

t> - 6 1/5

Answer: t> - 6 1/5

t > - 31/5

Step-by-step explanation:

Hello! Let's solve for t:

2 (t+5) > 4t-7 (t+3)

Begin by carrying out the indicated multiplications:

2t + 10 > 4t - 7t - 21

Move all terms on the right side over to the left side, and then combine like terms:

2t - 4t + 7t + 10 + 21 > 0 = > 5t + 31 > 0

Next, solve for t: 5t > - 31. Divide both sides by 5, obtaining t > - 31/5.