2t + 8 'greater than/equal to' -4(t+1)

t is 'greater than/equal to' ?_____?
i have an idea as to what the answer is but im pretty sure its wrong
can someone pls help me? thx

2 answers

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

2t + 8 >=-4t - 4

6t >= -12

t >= -2
**2t + 8 >= -4(t + 1)**
multiply negative 4 to both of the numbers in the parenthesis
**2t + 8 >=-4t - 4**
negate 8 on both sides
**2t>=-4t-12**
add 4t on both sides
**6t >= -12**
divide by 6
6t/6=1t=t
-12/6=-2
**t >= -2**