1. **Problem statement:** Represent the solutions of the inequality $x > -1.8$ graphically and find the least positive integer satisfying this inequality. 2. **Understanding the inequality:** The inequality $x > -1.8$ means all values of $x$ that are strictly greater than $-1.8$. 3. **Graphical representation:** On a number line, this is represented by an open circle at $-1.8$ (because $x$ cannot equal $-1.8$) and shading to the right, indicating all numbers greater than $-1.8$. 4. **Finding the least positive integer:** Positive integers are $1, 2, 3, \ldots$ The smallest positive integer is $1$. 5. Since $1 > -1.8$, the least positive integer satisfying the inequality is $1$. **Final answers:** - Graph: All $x$ such that $x > -1.8$ (open circle at $-1.8$, shading right). - Least positive integer: $1$.