Help me now i need this question right away
1 answer:
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<h3>Answer: Choice C</h3>
{x | x < -12 or x > -6}
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Explanation:
Let's solve the first inequality for x.
(-2/3)x > 8
-2x > 8*3
-2x > 24
x < 24/(-2)
x < -12
The inequality sign flips when we divide both sides by a negative value.
Let's do the same for the second inequality.
(-2/3)x < 4
-2x < 4*3
-2x < 12
x > 12/(-2)
x > -6
The conclusion of each section is that x < -12 or x > -6 which points us to <u>choice C</u> as the final answer.
Side note: The intervals x < -12 and x > -6 do not overlap in any way. There's a gap between the two pieces. We consider these intervals to be disjoint. The number line graph is below.
First of all, find a program or a calculator that will give you the answer. Then you'll know how to make your table. I recommend Desmos. I have inserted the final graph for you.
Make up a table for this graph. Put the lowest point as the central entry in your graph.
x y
-4
-3
-2
-1
0
Now fill in the y values.
x y
-4 1
-3 -3.5
-2 -5
-1 -3.5
0 1
You can use the outline of the parabola and then mark the outline with the points in the table.
Make up a table for this graph. Put the lowest point as the central entry in your graph.
x y
-4
-3
-2
-1
0
Now fill in the y values.
x y
-4 1
-3 -3.5
-2 -5
-1 -3.5
0 1
You can use the outline of the parabola and then mark the outline with the points in the table.