Is monopoly demand always elastic

No, monopoly demand is not always elastic. In a monopoly, the demand curve is typically downward-sloping, meaning that the monopolist can influence the price of its product. The elasticity of demand depends on factors such as the availability of substitutes and the necessity of the product; if substitutes are few and the product is a necessity, demand may be inelastic. Conversely, if there are many substitutes, demand can be more elastic.