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Which of the following inequalities matches the graph?

A. 6x+y<3
B. -6x+y<3
C. 6x-y<-3
D. the correct inequality is not listed​

Which of the following inequalities matches the graph? A. 6x+y<3 B. -6x+y<3 C-example-1

2 Answers

7 votes

Answer:

c

Explanation:

User Jprbest
by
5.2k points
2 votes

Answer:

  • C. 6x - y < -3

Explanation:

The graphed inequality shows that:

  • The function is increasing, so it has a positive slope, shaded region is to the left of the dashed line, so it should have > sign after y.

Above information lets us build the inequality:

  • y > ax + b, where a> 0

Now lets verify the options:

A. 6x + y < 3 ⇒ y < -6x + 3

  • No

B. -6x + y < 3 ⇒ y < 6x + 3

  • No

C. 6x - y < - 3 ⇒ y > 6x + 3

  • Yes

D. Not applicable

User Suther
by
4.9k points