## Introductory Algebra for College Students (7th Edition)

$-\displaystyle \frac{5}{2} < -\frac{5}{3},$ fill the box with $< .$
On the real number line, the real numbers increase from left to right. The lesser of two real numbers is the one farther to the left on a number line. The greater of two real numbers is the one farther to the right on a number line. The symbols $>$ and $<$ are called inequality symbols. These symbols always point to the lesser of the two real numbers when the inequality is true. --- Writing both numbers with a common denominator, $-\displaystyle \frac{5}{2}=-\frac{5\times 3}{2\times 3}=-\frac{15}{6},\qquad-\frac{5}{3}=-\frac{5\times 2}{3\times 2}=-\frac{10}{6}$ $-15$ is farther (to the left) from zero than $-10$ is, so $-\displaystyle \frac{15}{6} < -\frac{10}{6},$ $-\displaystyle \frac{5}{2} < -\frac{5}{3},$ fill the box with $< .$