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coldgirl [10]
3 years ago
8

Compare and contrast the solution of |2x + 8| > 6 and the solution of |2x + 8| < 6.

Mathematics
1 answer:
svet-max [94.6K]3 years ago
3 0

Answer:

B.

The solution of |2x + 8| > 6 includes all values that are less than –7 or greater than –1.

The solution of |2x + 8| < 6 includes all values that are greater than –7 and less than –1.

__

Step-by-step explanation:

You can find the solution by "unfolding" the absolute value, then dividing by 2 and subtracting 4:

-6 > 2x +8 > 6 . . . . . read this as -6 is less than 2x+8 or 2x+8 is greater than 6

-3 > x +4 > 3 . . . . . . .divide by 2

-7 > x > -1 . . . . . . . . . solution to the first inequality: x is less than -7 or greater than -1.

___

The solution to the other inequality is identical, except the direction of the comparison is reversed. It is read differently, because the segments overlap, rather than being disjoint.

-7 < x < -1 . . . . . . . . solution to the second inequality: x is greater than -7 and less than -1.

__

These descriptions match choice B.

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Answer · 1 vote

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Flying against the wind, an airplane travels 4500 in 5 hours. Flying with the wind, the same plane travels 4640 in 4 hours. What is the rate of the plane in still air and what is the rate of the wind?

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Step-by-step explanation:

6 0
2 years ago
What is 1/4 of 2,800
scZoUnD [109]

Answer:

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3 years ago
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borishaifa [10]

Find f(-2) f(x)=9x^2-5x+2


f(-2) means replace x in the equation with -2:


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