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
mezya [45]
2 years ago
14

use interval notation to express the following: the set of all numbers greater than or equal to 5 and less than or equal to 7​

Mathematics
1 answer:
irina1246 [14]2 years ago
8 0

[5, +∞) ∪ (-∞,7] is the notation to express the set of all numbers greater than or equal to 5 and less than or equal to 7​.

We need to use interval notation to express the set of all numbers greater than or equal to 5 and less than or equal to 7​.

<h3>What is a set?</h3>

A set is a mathematical model for a collection of different things; a set contains elements or members, which can be mathematical objects of any kind: numbers, symbols, points in space, lines, other geometrical shapes, variables, or even other sets.

Let x belong to the set of real numbers (R)

Now, x≥5 and x≤7.

So, x≥5⇒[5, +∞) and x≤7⇒(-∞,7]

Therefore, the notation will be [5, +∞) ∪ (-∞,7].

To learn more about sets visit:

brainly.com/question/8053622.

#SPJ1

You might be interested in
What is the degree of this polynomial 5y^2+y+1
In-s [12.5K]

2 is the degree of the polynomial

3 0
3 years ago
Read 2 more answers
Add.<br> 10.452 + 6.3<br> Enter the exact sum
Ksivusya [100]
16.752 is the sum to this
8 0
2 years ago
Read 2 more answers
Is the relationship shown by the data linear? If so, model the data with an equation. x y –7 5 –5 9 –3 13 –1 17
diamong [38]

Given:

The table of values is:

x :     -7          -5         -3           -1

y :      5           9         13          17

To find:

Whether the given data is linear and then find the equation.

Solution:

The given data is linear if the slope and rate of change is constant.

Slope formula:

m=\dfrac{y_2-y_1}{x_2-x_1}

Using the slope formula. we get

\dfrac{9-5}{-5-(-7)}=2

\dfrac{13-9}{-3-(-5)}=2

\dfrac{17-13}{-1-(-3)}=2

Since the rate of change is constant, i.e., 2, therefore the given data is linear.

The slope of a linear equation is 2 and it passes through the point (-7,5). So, the equation of the line is:

y-y_1=m(x-x_1)

y-5=2(x-(-7))

y-5=2(x+7)

y-5=2x+14

Adding 5 on both sides, we get

y-5+5=2x+14+5

y=2x+19

Therefore, the equation for the given data is y=2x+19.

8 0
3 years ago
A newspaper published this incorrect information in a report:
jek_recluse [69]
It is a 15% increase
5 0
3 years ago
Read 2 more answers
- 7h + 2(-4h +5) &gt; -4h +1 +10. Solve for h​
navik [9.2K]

Hello.

-7h + 2(-4h + 5) > -4h + 1 + 10 ; solve for h

Our first step is to get rid of all the parenthesis. We can do this by simplifying everything out.

-7h - 8h + 10 > -4h + 11

Add like terms.

-15h + 10 > -4h + 11

Now, we must isolate our variables. We do this by moving all variables to one side and moving our other numbers to the other.

Subtract 10 from both sides. Then, add 4h to both sides.

-15h + 4h > 11 - 10

Simplify.

-h > 1

Divide both sides by -1.

However, keep in mind that when dividing with a negative, you must change the sign. Therefore, > turns into <

-h ÷ -1 < 1 ÷ -1

h < -1

6 0
3 years ago
Other questions:
  • In the figure, FL=5 and HL=8 what is FM?
    13·1 answer
  • Ten times the square of a non‐zero number is equal to seventy times the number. What is the number?
    5·1 answer
  • 18) Which geometric shape can be described as a fixed distance along a line?
    14·1 answer
  • How many times will interest be added to the principal in 1 year if the interest is compounded semiannually? A. 1 B. 2 C. 12 D.
    9·1 answer
  • Square root of 148.48
    9·2 answers
  • Chloe has half a dozen eggs, how many dozen does Chloe have?" SHOW YOUR WORK
    5·1 answer
  • The area of the kite is 28 m ^2. What is the value of x?
    15·1 answer
  • Determinan las siguientes tablas muestran magnitudes directamente correlaciones o directamente proporcionales
    13·1 answer
  • Find the surface area of this rectangular solid
    12·1 answer
  • PLEASE HELP!!!! <br> Geometry
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!