If you enter into a binding contract with someone while they are intoxicated to the point of impairment, the contract can be invalidated on those grounds as long as impairment can be proven in a court.
You can't give reasonable consent while impaired. If it can be further demonstrated that one party intentionally attempted to induce intoxication for the purposes of attaining contractual consent, they can be held criminally liable for that act.
Consent isn't only about sex. It's much murkier and dubious in cases of mutual intoxication and interpersonal relations. This poster is simply trying to make people aware of fairly basic laws regarding consent in the United States. And it's worth knowing.
Men generally have a higher tolerance for alcohol than women even if they are equal height and weight due to differences in alcohol metabolism. There's perhaps some embedded sexism in this poster's standards, but it's better to be informed than incarcerated.