Question

Fill in the Blank, 1.) 2t+8>-4(t+1). t>_____

Answer 1

Hey there!!  

Given equation :

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

Using the distributive property :

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

Adding 4t on both sides :

... 6t + 8 > - 4

Subtracting 8 on both sides :

... 6t > - 12

Dividing by 6 on both sides :

... t > -2

Hence, the number in the blank is -2.

Hope my answer helps!!