Fixed-point theory has an extension to coincidences. For a pair of maps $f,g:X_1 o X_2$, a coincidence of f and g is a point $x in X_1$ such that $f(x) = g(x)$, and $Coin(f,g) = {x in X_1 $mid$ f(x) = g(x)}$</TEX> is the coincidence set of f and g. The Nielsen coincidence number N(f,g) and the Lefschetz coincidence number L(f,g) are used to estimate the cardinality of Coin(f,g). The aspherical manifolds whose fundamental group has a normal solvable subgroup of finite index is called infrasolvmanifolds. We show that if $M_1,M_2$ are compact connected orientable infrasolvmanifolds, then $N(f,g) geq $mid$L(f,g)$mid$$</TEX> for every $f,g : M_1 o M_2$.