1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
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.

You might be interested in
Surface area of a rectangular prism if W = 6in L = 9in and H = 2in
Delicious77 [7]

Answer:

Step-by-step explanation:

Two faces are 6” by 9”. Two faces are 6” by 2”. Two faces are 9” by 2”.

Surface are = 2*6*9 + 2*6*2 + 2*9*2 = 108 + 24 + 36 = 168 square inches

4 0
3 years ago
Please I need help with this
Vera_Pavlovna [14]

Step-by-step explanation:

The x are the values that you have been given

6 0
2 years ago
a box contains 4 red balls and 6 purple balls. Ezra takes out a ball, puts it back and then takes out another ball. what is the
ss7ja [257]

Answer:

16/100 = 4/25

Step-by-step explanation:

4/10 * 4/10 = 16/100

8 0
2 years ago
The image of the point (2, 1) under a translation is (5, -3). Find
Yanka [14]

Answer:

The coordinates of the image of the point (6,6) under the same  translation is: (9, 2)

Hence, option C is correct.

Step-by-step explanation:

The image of the point (2, 1) under a translation is (5, -3).

It means when we horizontally move 3 units to the RIGHT i.e. adding 3 units to the x-coordinate and vertically move 4 units DOWN i.e. subtracting 4 units from the y-coordinate of the original point (2, 1), we get the coordinates of the image (5, -3).

Thus,

The rule of translation can be formulated such as:

(x, y) → (x + 3, y - 4)

(2, 1) → (2 + 3, 1 - 4) → (5, -3)

Thus,

Under the same rule of translation, we can determine the coordinates of the image of the point (6,6):

(x, y) → (x + 3, y - 4)

(6, 6) → (6 + 3, 6 - 4) → (9, 2)

Therefore, the coordinates of the image of the point (6,6) under the same  translation is: (9, 2)

Hence, option C is correct.

4 0
2 years ago
Twice the sum of x and 5
SIZIF [17.4K]
I believe it would be x+5^2
3 0
3 years ago
Read 2 more answers
Other questions:
  • The audio-visual technician for a hotel ordered 4 boxes of microphone cords. There are 12 cords in each box.
    5·2 answers
  • Which value of m will create a system of parallel lines with no solution?
    9·2 answers
  • I need help with all of these
    9·1 answer
  • NEED THE ANSWER ASAP PLEASE
    8·2 answers
  • What is the answer for 4/8-2/5
    11·1 answer
  • Convert 0.5 liters to milliliters.​
    14·2 answers
  • Skipper has $350 in his bank account. He needs at least $1200 to buy more dog bones. If he saves $25 a week, how many weeks unti
    6·1 answer
  • Factor Completely.<br> 30r^2 + 30r + 75.
    9·1 answer
  • 3. One gram of protein contains 7 calories and one gram of fat contains 9 calories. If a cheeseburger has a total of 500 calorie
    14·1 answer
  • 3⁵.2⁴.2¹.3⁶.(3²)⁴ and down (2³)².3⁶​<br>​
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!