56.3k views
25 votes
Which shows the graph of the solution set of 6x + 4y < 12?

Which shows the graph of the solution set of 6x + 4y < 12?-example-1
User Shiri
by
8.7k points

2 Answers

8 votes

Answer:

graph B is the correct solution

User Luke De Feo
by
8.2k points
8 votes

The graph on the left shows the solution set of
$6 x+4 y < 12$.

First, we can rewrite the inequality as
$y < -(3)/(2) x+3$. This puts the equation in slop intercept form, where the y-intercept is 3 and the slope is
$-(3)/(2)$.

The slope is negative, so the line slants downward as we move from left to right.

The y-intercept is 3 , so the line crosses the y-axis at (0,3).

Since the inequality is less than, the shaded area is below the line. This means that any point below the line is a solution to the inequality.

The graph on the right shows the solution set of
$6 x+4 y > 12$. The slope and y-intercept are the same, but the inequality is reversed, so the shaded area is above the line.

Therefore, the graph on the left is the correct one for
$6 x+4 y < 12$.

User Thatjeffsmith
by
8.0k points

No related questions found

Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

9.4m questions

12.2m answers

Categories