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
nikklg [1K]
3 years ago
7

What is the solution set of [1/x-2]<-2

Mathematics
1 answer:
BigorU [14]3 years ago
7 0

Answer:

  3/2 < x < 2

Step-by-step explanation:

We assume the problem is ...

  [tek]\dfrac{1}{x-2}<-2[/tex]

This will not be true for x-2 > 0 because that would make the left side positive. So, we must have x < 2, which makes the denominator negative. Multiplying by (x-2), we get ...

  1 > -2(x -2)

  1 > -2x +4

  2x > 3 . . . . . . add 2x-1

  x > 3/2

From above, we also have x < 2, so the solution set is ...

  3/2 < x < 2

You might be interested in
Olivia is making 15 bead bracelets for her friends what is the proportional relationship?
yanalaym [24]

5 minutes per bracelet.

because 15/3 = 5 mins.

To find the constant of proportionality in minutes per bracelet, divide the total time by the number of bracelets:

constant of proportionality =15/3= 5 minutes.

Now, we're going to consider an example of a proportional relationship in our everyday life: When we put gas in our car, there is a relationship between the number of gallons of fuel that we put in the tank and the amount of money we will have to pay. In other words, the more gas we put in, the more money we'll pay.

Learn more about the proportional relationships at

brainly.com/question/12242745

#SPJ4

6 0
2 years ago
Answer this in two minutes
gregori [183]

Hey there! :)

Answer:

y = x - 3.

Step-by-step explanation:

Given:

Slope = 1

Point on line: (8, 5)

Plug these into the formula y = mx + b, where:

m = slope

x = x coordinate of point

y = y coordinate of point

5 = 1(8) + b

5 = 8 + b

Subtract both sides by 8:

5 - 8 = 8 -8 + b

-3 = b

Rewrite the equation:

y = x - 3.

4 0
3 years ago
Find the missing angle. PLEASE HELP!! I WILL GIVE 100 POINTS!!
mariarad [96]

Answer:

50°

Step-by-step explanation:

90°-40°=50°

The square on the angle means 90°.

Hope this helps! :D

3 0
3 years ago
A brand of diet chips has 30% of the calories of the regular brand. If the diet brand has 90 calories, how many calories does th
mina [271]
It's true that many people are eating more fat and calories than they need. ... If fats that a person has eaten aren't burned as energy or used as building blocks, ... so to figure out how many calories you're eating, you'll need to do three things: ... A small bag of corn chips may contain two or more servings — although most ... Here are the best and worst healthy chips to try. ... Diet & Nutrition ... potato chip consumption has been linked to weight gain), it can be difficult to ... the top snack brands that claim to be healthier alternatives to regular potato chips, ... Read on to find out which surprising brand is your best choice, and which ...
4 0
3 years ago
HELP ME WITH MY MATH ASSIGNMENT, WILL GIVE ANYTHING, DUE TOMORROW! :(
nataly862011 [7]

Answer:

Answer is 225.

We have to find the sum of 15 terms of the series

sigma 1 to 15 (2n-1)

This can be split as per summation terms as

sigma 2n - sigma 1

sigma 2n can again be simplified by taking 2 outside

sigma 2n= 2 times sum of natural numbers of 1 to 15

= 2(15)(16)/2= 240

sigma 1= 1+1+...15 times= 15

Hence final answer is

= 2 times sigma n - (n) = 240-15 = 225.

Step-by-step explanation:


4 0
3 years ago
Read 2 more answers
Other questions:
  • Which expressions are polynomials?<br> Select each correct answer.<br> 4x<br> 6y2 + 5x<br> 7y2+9x
    13·2 answers
  • Which graph represents the solution of the system {x^2+y^2=4 <br> X-y=1?
    12·2 answers
  • Juliet is trying to increase her savings account and she decides that she is going save an additional $700 every month. If her m
    8·2 answers
  • Christian has a collection of 18 shark teeth. He identified them as 6 tiger shark teeth, 8 sand shark teeth, and the rest as bul
    9·2 answers
  • Help me on this worksheet and pls show work :)
    15·1 answer
  • I need help with this
    13·2 answers
  • What is the axis of symmetry for the parabola created by the equation below?
    10·2 answers
  • In a survey, 26 voters were asked their ages. The results are shown below. Given a lower class limit of 20 and a class width of
    5·1 answer
  • What is 5x15 and 7x6
    13·2 answers
  • what is the value of the reciprocal of $\frac{-2}{5}$? express your answer as a decimal to the nearest tenth.
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!