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
IceJOKER [234]
3 years ago
14

Explain why the solution set of the inequality |x|<5 is the intersection of two sets, while the solution set of the inequalit

y |x|>5 is the union of two sets.The solution of |x|<5 is the set of numbers that makes either of two inequalities true. The solution set of |x|>5 is the set of numbers that makes both of two inequalities true. The solution of |x|<5 is the set of numbers between −5 and 5. The solution set of |x|>5 is the set of numbers greater than 5. The solution of |x|<5 is the set of numbers that makes both of two inequalities true. The solution of |x|>5 is the set of numbers that makes either of two inequalities true. The solution of |x|<5 is the set of numbers less than −5. The solution of |x|>5 is the set of numbers between −5 and 5.

Mathematics
1 answer:
FinnZ [79.3K]3 years ago
6 0

Answer:

The region of the |x| is the common area between -5 and 5.

But there is no common area for the solution of |x|>5.

Step-by-step explanation:

Given two modulus functions:

1.\ |x|5

Let us have a look at the definition of modulus function first:

|x|=\left \{ {-{x}\ if\ x0} \right.

Now, solving the above given modulus functions one by one using the definition of modulus function.

<em>Solution 1 :</em>

\pm x

Kindly refer to the attached diagram for solution.

The area shaded in the green color shows the solution for this equation.

<em>Solution 2 :</em>

\pm x >5\\\Rightarrow x>5, -x>5\\OR\\\Rightarrow x>5, x

Kindly refer to the attached diagram for solution.

The area shaded in the blue color shows the solution for this equation.

We can clearly observe that the region of the first equation is the common area between -5 and 5.

But there is no common area for the solution of the second equation.

Therefore, solution of |x| has intersection and

solution of |x|>5 has union.

<em></em>

You might be interested in
Help me plz quick only 5 mins​
solniwko [45]

Answer:

line B'C' = 1

m<C'D'A' = 90 degrees (it is still a rectangle)

Step-by-step explanation:

Dilation of coordinates:

Original: d:(3,2), a:(3,4), b:(7,4), c:(7,2)

Divide all numbers by 2.

Altered: d:(1.5,1), a:(1.5,2), b:(3.5,2), c:(3.5,1)

8 0
3 years ago
I need help:/ I’m in college
lesantik [10]

Step-by-step explanation:

Amount of acid = 14.9% of 331 mL solution

= 0.149×(331 mL)

= 49.3 mL acid

3 0
3 years ago
How many triangles in the diagram can be mapped to one another by similarity transformations? A. 2 B. 4 C. 0 D. 3
Fed [463]
The answer is B. 4


Explanation
7 0
2 years ago
Read 2 more answers
Given the linear system:
azamat

Answer:

y=x+1/2z+-1/2

Step-by-step explanation:

Let's solve for y.

2x−2y+z=1

Step 1: Add -2x to both sides.

2x−2y+z+−2x=1+−2x

−2y+z=−2x+1

Step 2: Add -z to both sides.

−2y+z+−z=−2x+1+−z

−2y=−2x−z+1

Step 3: Divide both sides by -2.

-2y/-2 = -2-z+1/-2

y=x +1/2z+-1/2

3 0
3 years ago
The hypotenuse of a 45-45-90 triangle has a length of 10 units. what is the length of one of its legs?
Blizzard [7]

the length of a leg on a 45-45-90 triangle given the hypotenuse is half the length of the hypotenuse times sqrt(2)

hypotenuse = 10

 10/2 =5

 so the answer should be 5sqrt(2), which I don't see as a choice

4 0
3 years ago
Other questions:
  • The sum of three consecutive even integers is fifty four. what is the second integer?
    13·1 answer
  • Find the slope of every line that is perpendicular to this one pls help i’m dumb
    8·2 answers
  • Find the distance between each pair of points<br> 8) (2, 6), (5, 10)<br> 9) (-3,-10), (-3,5)
    15·1 answer
  • 1) Suppose there are 2 blue, 3 green, and 5 yellow marbles in a bag. One marble will be drawn from the bag. List the sample spac
    8·1 answer
  • Through bond sales, a nation's central bank pulls money out of circulation. One of the short-term effects is to drive the price
    9·1 answer
  • Can someone please help me with this problem asap
    7·1 answer
  • A fair spinner has 9 equal sections: 3 red, 4 blue and 2 green.
    12·1 answer
  • What is the slope of the line containing the ordered pairs (5,-3) and (-2,-3)
    5·1 answer
  • Good evening every one sorry to brother u but can someone answer this
    14·1 answer
  • a infant grew 2/4 inches in the first month 7/4 inches in the third month . first find the total inches the infant grew over the
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!