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
kari74 [83]
2 years ago
15

-7 < -(x+7) < 1

Mathematics
2 answers:
dimaraw [331]2 years ago
8 0

Answer:

- 8 < x < 0  

Interval notation: (-8, 0)

Step-by-step Explanation:

Given the compound inequality statement, - 7 < -(x + 7) < 1 :

Solve the compound inequality in groups:

- 7 < -(x + 7)  and  -(x + 7) < 1

<h3>- 7 < -(x + 7)  </h3>

Switch sides to make it easier to solve:

-(x + 7)  > - 7

Using the multiplication property of inequality where it states that multiplying each side of an inequality <u>with a negative number</u> <em>reverses</em> the direction of the inequality symbol.  

Multiply both sides by -1 to eliminate the negative sign, and reverse the inequality:

(-1 ) -(x + 7)  > (- 7) (-1 )

x + 7 < 7

Then, subtract 7 from both sides to isolate y:

x + 7 - 7 < 7 - 7

x < 0

Next, we'll work on the other group:

<h3>-(x + 7) < 1 </h3>

Multiply both sides by -1 to eliminate the negative sign, and reverse the inequality:

(-1 ) -(x + 7) > 1 (-1 )

x + 7 > - 1

Subtract 7 from both sides:

x + 7 - 7 > - 1 - 7

x > -8

Therefore, the correct answer is: - 8 < <em>x</em> < 0, or in <u>interval notation</u>: (-8, 0).

Arturiano [62]2 years ago
7 0

Answer:

Move all terms not containing x from the center section of the inequality.

Inequality Form:

−8<x<0

Interval Notation:

(−8,0)

Step-by-step explanation:

You might be interested in
Can you help me plz <br><br> take your time tho
AnnZ [28]

Answer:

d

Step-by-step explanation:

the reasoning for this is because you count all the 2's and the little number in the corner and then you can't leave the 7 so you put the x7 for that reason

7 0
2 years ago
Read 2 more answers
How do you write an exact angle measure without approximating to a decimal value?
dimulka [17.4K]

an exact angle measure without approximating to a decimal value is given below.

Step-by-step explanation:

Since an angle of 2 has degree measure 360° it follows that an angle of 1 radian has degree measure (180/ )°. Likewise, an angle of size 1° has radian measure /180. We now can easily obtain a formula to convert from degrees to radians and vice-versa. To convert from degrees to radians, multiply the angle by /180.

convert decimal degrees to DMS :

  • For the degrees use the whole number part of the decimal.
  • For the minutes multiply the remaining decimal by 60. Use the whole number part of the answer as minutes.
  • For the seconds multiply the new remaining decimal by 60.
4 0
2 years ago
Describe the symmetry of these functions
Oduvanchick [21]
If it was line symmetry it would need to repeat the same shape twice, which the first follows but the second doesn’t.
if it was rotational, you would need to be able to take the shape in the top right and rotate it counterclockwise or clockwise to get the shape that locks in place. that doesn’t follow that.
both line and rotational symmetry is incorrect because the first example would need to lock up inside the right side of that example.

the answer is C
5 0
2 years ago
Read 2 more answers
I need a-n answers!!! help plseaseeeee
bekas [8.4K]
A = consecutive interior
b= alternate exterior
c= consecutive exterior
d= alternate interior
e= corresponding
f= none
g= consecutive exterior
h= corresponding
i= alternate exterior
j= consecutive exterior
k=corresponding
l= alternate exterior
m= alternate interior
n= consecutive interior
5 0
3 years ago
Write an equation of the line below.
otez555 [7]

Answer:

im not exactly sure but i think it would be y=1x-2

7 0
2 years ago
Other questions:
  • Kjnhbgvnfcbvhjnkml,;'.<br> ?}{:HJUbmgfcbdxvsc
    11·2 answers
  • Please help me i'm confused
    14·1 answer
  • 3. On a coordinate grid, the location of a lighthouse is at L, and the location of a buoy is at B. At noon, a ship is at the mid
    6·1 answer
  • 1. The length of a rectangle is 5 mm longer than its width. Its perimeter is more than 30 mm. Let w equal the width of the recta
    7·1 answer
  • Quadrilateral ABCD has diagonals that are congruent and perpendicular to each other. What classification can be given to ABCD?
    13·2 answers
  • A dry cleaner charges $18 to clean 4 pairs of pants.   How many pairs of pants can be cleaned for $27 at the same rate?
    10·1 answer
  • A trunk can carry up to 207 kilograms of cargo. A brick has a mass of 4 kilograms. What is the maximum number of bricks the truc
    13·1 answer
  • Work out the area of this circle.
    9·1 answer
  • How many zero pairs do you think we need to add so we can take away 6 positives?
    9·1 answer
  • The net of a square pyramid is shown below:
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!