Step-by-step explanation:
Look at the picture.
Function? NOT, because for x∈(3, 5) the relation has two values of y.
The vertical line test.
If the vertical line you drew intersects the graph more than once for any value of x then the graph is not the graph of a function (picture 2).
Step-by-step explanation:
I think this will help you. Thanks.
{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.
