A. {-3, 7, 8, 12} B. {-8, -3, 5, 7} C. {6, 8, 10, 12} D. {-8, -3, 5, 6, 7, 8, 10, 12}
1 answer:
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Answer:
B
Step-by-step explanation:
We have the equation and we want to find which ordered pair is in the solution
First, let's convert the inequality to slope-intercept form. So, we have:
Add x to both sides:
Divide both sides by -2. Since we're dividing by a negative, we will flip the sign:
Therefore, our original inequality will be the same as above.
Notice that our y is <em>greater than</em> our equation.
Therefore, the shaded area will lie <em>above</em> our line.
So, any point that falls within the region above our line (in the graph) and on the line is a solution to our inequality.
(-4, 1) is below our line, so it's not a solution.
(-1, 4) is above our line. So, (-1, 4) is our answer.
(-4, -1) is again below our line. So, it's not a solution.
Finally, (4, -1) is also below our line, so it's not a solution.
Therefore, our final solution is B: (-1, 4).
Let's check this. Substitute -1 for x and 4 for y. This yields:
Multiply:
Subtract:
So, (-1, 4) is indeed our solution.
And we're done!