Question

which of the following inequalities is equivalent to -6 > x?

$x < - 6$
$x > - 6$
$x \leqslant - 6$
$x \geqslant - 6$

Answer 1

-6 > x inequality means that -6 is greater than (and not equal to) x

This only leaves one choice, which is x < - 6, because this means that x is less than (and not equal to) -6, which is the opposite but means the same as -6 > x

hope this helps

Answer 2

For inequalities, a > b means same as b < a.
Given is -6 > x, it means -6 is greater than x.
In other words, we can write x is smaller than -6.
Mathematically, it can be written as x < -6.

Hence, option A i.e. x < -6 is the correct answer.