anonymous
  • anonymous
Which of the following inequalities matches the graph? (see attached photo) A -6x + y < 3 B 6x + y < 3 C 6x - y < -3 D The correct inequality is not listed.
Mathematics
  • Stacey Warren - Expert brainly.com
Hey! We 've verified this expert answer for you, click below to unlock the details :)
SOLVED
At vero eos et accusamus et iusto odio dignissimos ducimus qui blanditiis praesentium voluptatum deleniti atque corrupti quos dolores et quas molestias excepturi sint occaecati cupiditate non provident, similique sunt in culpa qui officia deserunt mollitia animi, id est laborum et dolorum fuga. Et harum quidem rerum facilis est et expedita distinctio. Nam libero tempore, cum soluta nobis est eligendi optio cumque nihil impedit quo minus id quod maxime placeat facere possimus, omnis voluptas assumenda est, omnis dolor repellendus. Itaque earum rerum hic tenetur a sapiente delectus, ut aut reiciendis voluptatibus maiores alias consequatur aut perferendis doloribus asperiores repellat.
jamiebookeater
  • jamiebookeater
I got my questions answered at brainly.com in under 10 minutes. Go to brainly.com now for free help!
anonymous
  • anonymous
1 Attachment
mathstudent55
  • mathstudent55
Looking at the graph, it looks like the y-intercept is (0, 3) The points (0, 3) and (1, 9) are on the line. Since we have two points we can calculate the slope: (9 - 3) / (1 - 0) = 6 = m From (0, 3), we have the y-intercept, b = 3 So the equation of the line is y = mx + b y = 6x + 3 Now look at point (0, 0) Assume inequality is y < 6x + 3 Test (0, 0): Is 0 < 6(0) + 3? 0 < 3 is true, so (0, 0) should be in shaded area. Since it's not, assumption is incorrect and correct inequality is y > 6x + 3 Now see if any of the choices is the same as y > 6x + 3
anonymous
  • anonymous
@mathstudent55 so it would be B?

Looking for something else?

Not the answer you are looking for? Search for more explanations.

More answers

mathstudent55
  • mathstudent55
B is 6x + y < 3 y < -6x + 3 We have y > 6x + 3, so that's not it. Let's put our inequality in standard form: y > 6x + 3 -6x + y > 3 Multiply both sides by -1 Remember the inequality sign changes direction when you multiply or divide both signs by a negative number. 6x - y < -3 That looks like C

Looking for something else?

Not the answer you are looking for? Search for more explanations.