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
nevsk [136]
3 years ago
9

Find a value for x if 1/x > x

Mathematics
1 answer:
Ymorist [56]3 years ago
6 0

Since x can't be zero (it sits at the denominator of the left hand side), let's split cases:

If x is positive

It this case, we can multiply both sides by x without changing the inequality sign:

\dfrac{1}{x} > x \iff 1 > x^2 \iff x \in (-1,1)

But since we're assuming that x is positive, we can only accept the numbers between 0 and 1.

If x is negative

It this case, in order to multiply both sides by x we have to change the inequality sign:

\dfrac{1}{x} > x \iff 1 < x^2 \iff x \in (-\infty,-1) \cup (1,\infty)

But since we're assuming that x is negative, we can only accept the numbers which are smaller than -1.

So, putting all the pieces together, we have that the solution is given by the following interval:

(-\infty, -1) \cup (0,1)

You might be interested in
Click the expression that is the additive inverse of 5/16.
Alexeev081 [22]
A)-5/16 is the answer
8 0
2 years ago
Read 2 more answers
A ball is drawn at random from a box containing 12 red,18
Lubov Fominskaja [6]

<u>Answer:</u>

<u>For a:</u> The probability of getting a red or blue ball is 0.48

<u>For b:</u> The probability of getting a white, blue or orange ball is 0.81

<u>For c:</u> The probability of getting neither white or orange ball is 0.48

<u>Step-by-step explanation:</u>

Probability is defined as the extent to which an event is likely to occurs. It is measured by the ratio of the favorable outcomes to the total number of possible outcomes.

\text{Probability}=\frac{\text{Number of favorable outcomes}}{\text{Total number of favorable outcomes}}     .......(1)

We are given:

Number of red balls in a box = 12

Number of white balls in a box = 18

Number of blue balls in a box = 19

Number of orange balls in a box = 15

Total balls in a box = [12 + 18 + 19 + 15] = 64

  • <u>For a:</u>

Number of favorable outcomes (ball must be red or blue) = [12 + 19] = 31

Total number of outcomes = 64

Putting values in equation 1, we get:

\text{Probability of getting a red or blue ball}=\frac{31}{64}=0.48

  • <u>For b:</u>

Number of favorable outcomes (ball must be white or blue or orange) = [18 + 19 + 15] = 52

Total number of outcomes = 64

Putting values in equation 1, we get:

\text{Probability of getting a white or blue or orange ball}=\frac{52}{64}=0.81

  • <u>For c:</u>

Number of favorable outcomes (ball must be white or orange) = [18 + 15] = 33

Total number of outcomes = 64

Putting values in equation 1, we get:

\text{Probability of getting a white or orange ball}=\frac{33}{64}=0.52

Probability of getting a ball which is neither white or orange = [1 - (Probability of getting a white or orange ball)] = [1 - 0.52] = 0.48

7 0
2 years ago
8. Solve x/10 = –7. A. x = –0.7 B. x= –17 C. x = –70 D. x = 3
ANEK [815]
For this problem, I believe you would just have to plug in for x.

For example, -17 divided by 10 and so on.

The answer should be C, -70. -70 divided by 10 equals -7. 
4 0
3 years ago
PLEASE HELP ASAP!!! I NEED CORRECT ANSWERS ONLY PLEASE!!! I NEED TO FINISH THESE QUESTIONS BEFORE MIDNIGHT TONIGHT.
Natali [406]

Yo sup??

To solve this question we have to apply trigonometric ratios

sin31=UT/TV

TV=UT/sin31

=7.76

=7.8

Hope this helps.

6 0
2 years ago
A bacteria culture doubles every hour. If there are 15000 bacteria now, how many bacteria were there 6 hours ago? Use an exponen
Kamila [148]
23.4375 or 24.0 is the bacteria count after 6 hours.
7 0
3 years ago
Other questions:
  • The annual health care costs for two new companies that opened in the year 2000 are shown on the graphs below.
    12·2 answers
  • Make p the subject of the formula rp+5=3p+8r​
    5·1 answer
  • Is the statement below always, sometimes, or never true? Give at least two examples to support your reasoning. The least common
    12·1 answer
  • 6a^2 -12a equals what
    9·1 answer
  • Ricardo has just taken over his parents' restaurant. He knows after working there for many years that one of the major concerns
    5·1 answer
  • Find the mean and the median of the following data
    10·2 answers
  • If you walk 5 miles in 2 hours, how far would you walk in 8 hours
    13·1 answer
  • Find the missing x value for for question 14
    6·1 answer
  • Calvin digs a hole at a steady rate of 1(1)/(3) feet every hour.
    9·1 answer
  • 5. Simplify the expression and find its value when p= 4 and q = -5:
    11·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!