We consider the Case 1 interval censoring approach for right-censored survival data. An important feature of the model is that right-censored event times are not observed exactly, but at some inspection times. The model covers as particular cases right-censored data, current status data, and life table survival data with a single inspection time. We discuss the nonparametric estimation approach and consider three nonparametric estimators for the survival function of failure time: maximum likelihood, pseudolikelihood, and the naïve estimator. We establish strong consistency of the estimators with the L ₁ rate of convergence. Simulation results confirm consistency of the estimators.