Con(${\mathfrak{r}}_{\mathsf{n}\mathsf{w}\mathsf{d}}<\mathfrak{i}\mathfrak{r}\mathfrak{r}$)

We prove the consistency of the inequality ${\mathfrak{r}}_{\mathsf{n}\mathsf{w}\mathsf{d}}<\mathfrak{i}\mathfrak{r}\mathfrak{r}$, which in turn implies the consistency of ${\mathfrak{r}}_{\mathsf{n}\mathsf{w}\mathsf{d}}<\mathfrak{i}$ and ${\mathfrak{r}}_{\mathsf{s}\mathsf{c}\mathsf{a}\mathsf{t}\mathsf{t}}<\mathfrak{i}\mathfrak{r}\mathfrak{r}$. This answers one question from \cite{balzar_hrusak_hernandez} and one question from \cite{cancino_irresolvable_1}. We also prove the consistency of the inequality ${\mathfrak{r}}_{\mathbb{Q}}<{\mathfrak{u}}_{\mathbb{Q}}$.