Answer:
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, [tex]-6 < -4[/tex] is the correct option.
Therefore, the option 'd' is the correct answer.
Step-by-step explanation:
Let us analyze all the given inequalities
Given the inequality
[tex]-7\:>-4[/tex]
As -7 can not be greater than -4, so [tex]-7\:>-4[/tex] is false.
Given the inequality
[tex]-8>-4[/tex]
As -8 can not be greater than -4, so [tex]-8>-4[/tex] is false.
Given the inequality
[tex]-4 < -9[/tex]
As -4 can not be lesser than -9, so [tex]-4 < -9[/tex] is false.
Given the inequality
[tex]-6 < -4[/tex]
As -4 is always greater than -6, so [tex]-6 < -4[/tex] 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, [tex]-6 < -4[/tex] is the correct option.
Therefore, the option 'd' is the correct answer.
