Graph the solution to the following system of inequalities in the coordinate plane.
1 answer:
Answer:
see below
Step-by-step explanation:
The first equation is in slope-intercept form, so you can see that the boundary line has a slope of -2 and goes through the point (x, y) = (0, -4). Since the comparison is "<", the line is dashed and shading is below it.
The second equation is that of a vertical boundary line at x=-3. It is solid, because the comparison includes the "equal" case. Shading is to the right of it, where x values are greater than -3.
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The dashed line is because the sign is greater than to be a solid line it has to be equal to or greater than and to the shading means any point on there works for the equation easiest way to test where you should shade is by plugging into the equation the point (0,0)
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To find this, we will find the number of combinations of 5 country songs taken 5 at a time, 6 pop songs taken 0 at a time, and the total number of outcomes will be 11 songs taken 5 at a time:
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