Answer
See below.
Work Step by Step
We know that $(x-k)^2\geq0$ for all $k$.
Thus an inequality that has no solution is $x^2\lt0$. An inequality that has one solution is $x^2\leq0$ (the only solution is $x=0$.)
College Algebra (10th Edition)
by Sullivan, Michael
Published by
Pearson
ISBN 10:
0321979478
ISBN 13:
978-0-32197-947-6
Chapter 5 - Section 5.4 - Polynomial and Rational Inequalities - 5.4 Assess Your Understanding - Page 374: 80
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