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ilovenyc
 2 years ago
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.
ilovenyc
 2 years ago
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.

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mathstudent55
 2 years ago
Best ResponseYou've already chosen the best response.0Looking at the graph, it looks like the yintercept 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 yintercept, 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

ilovenyc
 2 years ago
Best ResponseYou've already chosen the best response.0@mathstudent55 so it would be B?

mathstudent55
 2 years ago
Best ResponseYou've already chosen the best response.0B 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
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