(1 point) 2t + 8 ≥ −4(t + 1) t ≥ ____
To solve the inequality, we can start by simplifying both sides of the equation.
2t + 8 ≥ -4(t + 1)
First, distribute -4 to both terms inside the parentheses.
2t + 8 ≥ -4t - 4
Next, add 4t to both sides of the equation.
2t + 4t + 8 ≥ -4
This simplifies to:
6t + 8 ≥ -4
Now, subtract 8 from both sides of the equation.
6t ≥ -12
Finally, divide both sides of the equation by 6.
t ≥ -2
Therefore, the solution to the inequality is t ≥ -2.
To solve the inequality 2t + 8 ≥ -4(t + 1), we need to simplify and isolate the variable t.
First, distribute -4 to (t + 1):
2t + 8 ≥ -4t - 4
Next, combine like terms by adding 4t to both sides:
2t + 4t + 8 ≥ -4
Simplifying further:
6t + 8 ≥ -4
Now, subtract 8 from both sides:
6t ≥ -12
Finally, divide both sides by 6 to solve for t:
t ≥ -2
Therefore, the solution to the inequality is t ≥ -2.
To solve the inequality 2t + 8 ≥ -4(t + 1), we need to isolate the variable t on one side of the inequality sign. Here's how:
1. Distribute the -4 to the terms inside the parentheses:
2t + 8 ≥ -4t - 4
2. Simplify the equation by combining like terms:
2t + 4t ≥ -8 - 4
3. Combine the t terms:
6t ≥ -12
4. To isolate t, divide both sides of the inequality by 6:
(6t)/6 ≥ (-12)/6
This yields:
t ≥ -2
Therefore, the solution to the inequality 2t + 8 ≥ -4(t + 1) is t ≥ -2.