Solve the following inequality for $$ t $$. Write your answer in simplest form. $$ 5 t+64 t-8 $$ Answer Attempt 1 out of 2

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Solve the following inequality for $$ t $$. Write your answer in simplest form. $$ 5 t+6>4 t-8 $$ Answer Attempt 1 out of 2

UpStudy AI · Accepted Answer

To solve the inequality $$ 5t + 6 > 4t - 8 $$ for $$ t $$, follow these steps:

1. **Subtract $$4t$$ from both sides** to get all the $$ t $$-terms on one side:
   $$
   5t + 6 - 4t > 4t - 8 - 4t
   $$
   Simplifying this gives:
   $$
   t + 6 > -8
   $$

2. **Subtract 6 from both sides** to isolate $$ t $$:
   $$
   t + 6 - 6 > -8 - 6
   $$
   Simplifying further:
   $$
   t > -14
   $$

**Solution:**
$$
t > -14
$$

This means that any real number $$ t $$ greater than $$-14$$ satisfies the inequality.
$$ t > -14 $$

Solve the following inequality for . Write your answer in simplest form.

Answer Attempt 1 out of 2

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Solve the following inequality for . Write your answer in simplest form. Answer Attempt 1 out of 2