I'm trying to solve this expression using R and I have no clue.
P(Z >= c) = 0.025
I found P(Z < c) = 0.975
using the complement rule but do not know how to proceed further.
If you have the cumulative distribution function (CDF), think about the inverse.
Here, p = 0.975
.
Fortunately, other people have already built functions like these. Compare the definition of the inverse CDF to the quantile function for insights into why the letter q is used by some packages.
I'll leave the rest up to you.