# $L_{\infty}(a,b) \subset L_q(a,b) \subset L_p(a,b)$

If $$- \infty < a < b < \infty$$, $$0 < p < q < \infty$$ how to prove that $$L_{\infty}(a,b) \subset L_q(a,b) \subset L_p(a,b)$$? Does anyone have any idea or some hints?