-1/4(d+1)<2

Answer 1

1. distribute everything inside the parentheses by multiplying -1/4 with d (-1/4*d) and with 1(-1/4): -1/4d-1/4<2
2. isolate -1/4d by cancelling the -1/4 (add 1/4 to 2): -1/4d<9/4 (2 and 1/4)
3. divide the 9/4 by -1/4 (for this we multiply by the flipped version of the number, -4). because you are dividing by a negative number, you must flip the inequality sign from < to >
4. d > -9
hope this helps!

Answer 2

shorter way:
-1/4(d+1)<2 <---- times 4
-(d+1) < 8
-d - 1 < 8
-d < 9
d > -9