# 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

###### Question:

a

−7 > −4

b

−6 −4

d

−4 < −9

## Answers

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 inequalitiesGiven 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.