Question

Which of the following is a true statement?
A.$ - 4 > - 3$
B.$ - 4 < - 3$
C.$ - 4$ and $ - 3$ are non- comparable
D.None

Answer 1

Hint: In this question, we are given four options, out of which, we have to tell which of them is correct.
We have to compare the numbers $ - 4$ and $ - 3$ .
We can do it either by drawing a number line or by simply using the basics of inequality.
A point to remember while using the number line is that, the numbers increase on a number line, as we move from left to right.
A point to be remembered while solving using the basics of inequality is that, whenever there is inequality and we multiply by the negative signs on both sides, the inequality will reverse.

Complete answer:
Given two numbers $ - 4$ and $ - 3$ .
To compare these two numbers.
First, we will mark these points on the number line, we get,

And we know that, the numbers increase on a number line, as we move from left to right.
So, clearly $ - 4 < - 3$ .

Hence, the option $(B)$ is correct.

Note:
We can also check it using the basics of inequality, we know that, $3 < 4$ and, as we multiply it by the negative sign on both sides, the sign will get reversed, i.e., we get, $ - 3 > - 4$ , or we can write it as $ - 4 < - 3$ .
Mistakes can be done if one forgets to reverse the inequality sign, while multipling with a negative sign. Inequality can be of any type out of the following: $ > , < , \geqslant , \leqslant $ .
The inequality sign gets reversed only if we multiply by a negative sign on both sides, and not when we add, multiply or divide by the same number on both sides.