Question

Based on the graph, which inequality is correct for a number that is to the left of -4?

a
−7 > −4
b
−6 −4
d
−4 < −9

Answer 1

From the graph, it is clear that the left of -4 will always be lesser than the -4.

and -6 is the left of -4. so -6 will be lesser than -4.

so,
`-6 < -4` is the correct option.

Therefore, the option 'd' is the correct answer.

Explanation:

Let us analyze all the given inequalities

Given the inequality

`-7\:>-4`

As -7 can not be greater than -4, so
`-7\:>-4` is false.

Given the inequality

`-8>-4`

As -8 can not be greater than -4, so
`-8>-4` is false.

Given the inequality

`-4 < -9`

As -4 can not be lesser than -9, so
`-4 < -9` is false.

Given the inequality

`-6 < -4`

As -4 is always greater than -6, so
`-6 < -4` will be true.

From the graph, it is clear that the left of -4 will always be lesser than the -4.

and -6 is the left of -4. so -6 will be lesser than -4.

so,
`-6 < -4` is the correct option.

Therefore, the option 'd' is the correct answer.