Question

Express the relation between the following numbers with the help of the less than or greater than inequalities. Also, verify it :

$-\frac{7}{3}$ and $\frac{4}{3}$

Answer 1

Step 1: Express the relation between the numbers

The given numbers are $-\frac{7}{3}$ and $\frac{4}{3}$

Negative numbers are always lesser than positive numbers.

Hence, use the less than symbol between the numbers :

$-\frac{7}{3}<\frac{4}{3}$

-2.33<1.33

Step 2: Verify the relation

Verification,

$$\begin{gathered} \frac{4}{3}-(-\frac{7}{3})=\frac{4}{3}+\frac{7}{3} \\ =\frac{11}{3} \end{gathered}$$

Hence, the relation between the given numbers is $-\frac{7}{3}<\frac{4}{3}$