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
Answer:
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.