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
Hellppp plz will mark brainliestttt
AlekseyPX

Answer:

not a function i think

Step-by-step explanation:

have a nice day hope this helps

3 0
3 years ago
What is the value of x?<br> 21<br> 24<br> 32<br> 44
VMariaS [17]

Answer:

x = 21

Step-by-step explanation:

Because GJ is a diameter, the angle K is a right angle (90 degrees).

Thus, 4x + 6 = 90, and 4x = 84.  Thus, x = 21

7 0
3 years ago
Find a polynomial function that has the given zeros. (there are many correct answers.) 0, 1, 6
aev [14]
Since those are the zeros, we can say that the equation would have to be
x(x-1)(x-6), then we just expand to get x^3 - 7x^2 + 6x
7 0
3 years ago
A mass weighing 3 lb stretches a spring 3 in. If the mass is pushed upward, contracting the spring a distance of 1 in and then s
Bas_tet [7]

Answer:

Step-by-step explanation:

m=\frac{3}{32}\\ \gamma =0\text{ damping constant.}\\ k=\frac{3}{\frac{1}{4}}=12\\ F(t)=0\\ \text{so equation of motion is }\\ mu''+\gamma u'+ku=F(t)\\ \frac{3u''}{32}+12u=0\\ u''+128u=0\\ \text{and initial conditions are}\\ u(0)=-\frac{1}{12}\\ u'(0)=2\\ u''+128u=0\\ \text{characterstic equation is}\\ r^2+128=0\\ \text{roots are }\\ r=\pm 8\sqrt{2}i\\ \text{therefore general solution is}\\ u(t)=A\cos8\sqrt{2}t+Bsin8\sqrt{2}t\\ \text{using initial conditions we get}\\ A=-\frac{1}{12}\\ B=\frac{\sqrt{2}}{8}\\ \text{therefore solution is }\\ u(t)=-\frac{1}{12}\cos8\sqrt{2}t+\frac{\sqrt{2}}{8}\sin8\sqrt{2}t\\&#10;{hence}\\R=\sqrt{\frac{11}{288}}\\\\\sigma=\pi - \tan^{-1}\frac{1}{\sqrt{2}}\\\\\omega_0=8\sqrt{2}\\T=\frac{4}{4\sqrt{2}}

3 0
3 years ago
PLEASEE ANSWER QUESTION A AND B ASAPPPPPP
velikii [3]

Answer: A. its basically symmetry

B. I don't know

Step-by-step explanation:

6 0
3 years ago
Read 2 more answers
Other questions:
  • What is 395 times blank equals 2,370
    14·2 answers
  • Simplify the expression (√3 + i)(√3- i) and write the result in the form a+bi.
    10·1 answer
  • Choose the right classification of 5x + 3x^4 - 7x^3 + 10 by number terms and he degree
    11·1 answer
  • A combination lock has 6 different numbers. You can use any number 0 - 9 in the combination, but each number can only be used ON
    12·1 answer
  • How to start solving it
    12·1 answer
  • When solving negative one over five (x − 25) = 7, what is the correct sequence of operations?
    11·1 answer
  • In the figure below, if sin x= 5/13, what are cos x and tan x? PLZ HELP FOR THE LOVE OF GOD AND WHTS GOOD IN THE WORLD HELPPP
    10·1 answer
  • 1 2/5 as a improper friction
    11·1 answer
  • The intersection of a triangle and a line could be a segment<br> True or False
    8·1 answer
  • Can anyone help me with this question <br><br> -5(y+10)
    10·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!