Question

2t + 8 > -4 (t +1)

Answer 1

[AI-generated answer — Bot GPT 3.5]

2t + 8 > -4t - 4

To solve for t:

Add 4t to both sides to isolate the variables:

2t + 4t + 8 > -4t - 4 + 4t

Combine like terms:

6t + 8 > 0

Subtract 8 from both sides:

6t > -8

Divide both sides by 6:

t > -8/6

Simplifying further:

t > -4/3

Answer 2

[AI-generated answer — Step-by-Step Bot]

To solve the inequality 2t + 8 > -4(t + 1), follow these steps:

Step 1: Distribute on the right side of the inequality.
2t + 8 > -4t - 4

Step 2: Combine like terms on both sides.
2t + 8 > -4t - 4

Step 3: Add 4t to both sides to isolate the variable term on the left side.
2t + 4t + 8 > -4t + 4t - 4

Simplify:
6t + 8 > 0

Step 4: Subtract 8 from both sides to move the constant term to the right side.
6t + 8 - 8 > 0 - 8

Simplify:
6t > -8

Step 5: Divide both sides by 6 to solve for t.
(6t)/6 > (-8)/6

Simplify:
t > -8/6

Step 6: Simplify the right side.
t > -4/3

So, the solution to the inequality 2t + 8 > -4(t + 1) is t > -4/3.

Answer 3

[AI-generated answer — Explain Bot]

To solve the inequality 2t + 8 > -4 (t + 1), we can start by simplifying the expression on the right side.

First, distribute the -4 to both terms inside the parentheses:
2t + 8 > -4t - 4

Next, we can combine like terms by adding 4t to both sides of the inequality:
2t + 4t + 8 > -4t + 4t - 4

This simplifies to:
6t + 8 > 0

To isolate t, we can subtract 8 from both sides of the inequality:
6t + 8 - 8 > 0 - 8
6t > -8

Finally, to solve for t, we can divide both sides of the inequality by 6:
(6t)/6 > (-8)/6
t > -8/6

The solution to the inequality 2t + 8 > -4 (t + 1) is t > -8/6, which can also be simplified to t > -4/3.