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
inysia [295]
3 years ago
9

Write the set of points from −5 to 2 but excluding −2 and 2 as a union of intervals

Mathematics
1 answer:
Tju [1.3M]3 years ago
7 0

We need to write interval for the number from -5 to 2.

We need to exclude numbers -2 and 2 from it.

First we need to note some important points about interval notation.

We need to check, which numbers are included and which numbers are excluded in the given interval.

We use open-interval ( or ) for excluded values and [ or ] close-interval for included values.

For the given problem, we have given three numbers: -5, -2 and 2.

It's clarly given that -2 and 2 are not included. But it is not said that -5 is excluded, so -5 is included number.

-2 comes in between -5 and 2 on the number line.

So let us write interval notation from -5 to -2. (Note : -5 is included and -2 excluded).

Therefore, we will write close interval " [ " on left side of -5 and an open interval " ( "on right side of -2. We get,

[-5 , -2 ).

Now, we will write interval notation from -2 to 2.

Both are excluced values, os we will take open intervals ( ) on left and right side of -2 and 2.

So, we get another part of the interval as

(-2,2).

We will put union symbol in between above two interval notations we get.

Therefore, final interval notation is

[-5 , -2 ) ∪ (-2,2).


You might be interested in
Colin invests £2350 into a savings account. The bank gives 4.2% compound
marin [14]

Answer:

Answer:

£3692

Step-by-step explanation:

A = p(1 + r/n)^nt

Where,

A = future value

P = principal = £2350

r = interest rate = 4.2% = 0.042

n = number of periods = 1(annual)

t = time = 4 years

A = p(1 + r/n)^nt

= 2350(1 + 0.042/1)^1*4

= 2350(1 + 0.042)^4

= 2350(1.042)^4

= 2350(1.5789)

= 2770.42

A = £2770.42

Total years = 10

Remaining years = 10 – 4

= 6 years

Remaining 6 years

P = £2770.42

r = 4.9% = 0.049

n = 1

t = 6

A = p(1 + r/n)^nt

= 2770.42(1 + 0.049/1)^1*6

= 2770.42(1 + 0.049)^6

= 2770.42(1.049)^6

= 2770.42(1.3325)

= 3691.59

A = £3691.59

Approximately £3692

Thank you!

5 0
3 years ago
Find the slope of the line whose equation is 8y = 4 - 3x.
Sidana [21]
The slope is 3
whatever is in front of the x is the slope

5 0
3 years ago
Read 2 more answers
The value of the digit in the hundreds placed in the number 653841 is 1/10 the value of the digit in the thousand place in which
kondor19780726 [428]
The complete question in the attached figure

we have that
the value of the digit in the hundreds place in the number 653,841 is---> 800

case  A) 748,917
the value of the digit in the thousands place------> 8000
1/10 the value of the digit is-------> (1/10)*8000=800
800=800---------------> is ok

case  B) 749,817
the value of the digit in the thousands place------> 9000
1/10 the value of the digit is-------> (1/10)*9000=900
900 is not 800

case  C) 784,817
the value of the digit in the thousands place------> 4000
1/10 the value of the digit is-------> (1/10)*4000=400
400 is not 800

case  D) 797,481
the value of the digit in the thousands place------> 7000
1/10 the value of the digit is-------> (1/10)*7000=700
700 is not 800


the answer is
the option A) 748,917

6 0
3 years ago
Help please! Will pick the Brainliest.<br> (sorry if it’s sideways)
KatRina [158]

1.

(x^2y^8)^\frac{2}{3}=x^{2\cdot\frac{2}{3}}y^{8\cdot\frac{2}{3}}=x^{\frac{4}{3}}y^{\frac{16}{3}}=x^{1\frac{1}{3}}y^{5\frac{1}{3}}=x^1x^\frac{1}{3}y^5y^\frac{1}{3}=xy^5\sqrt[3]{x}\sqrt[3]{y}=\boxed{xy^5\sqrt[3]{xy}}

Answer B)

2.

\frac{1}{3}\left(\frac{2}{15}x-\frac{2}{3}\right)>x+\frac{1}{5}\quad|\cdot3\\\\\\\frac{2}{15}x-\frac{2}{3}>3x+\frac{3}{5}\quad|\cdot15\\\\\\2x-\frac{30}{3}>45x+\frac{45}{5}\\\\2x-10>45x+9\\\\-10-9>45x-2x\\\\-19>43x\quad|:43\\\\\boxed{x

Answer B)

3.

\sqrt{14xy}\cdot\sqrt{12}\cdot\sqrt{30y}=\sqrt{14\cdot12\cdot30}\cdot\sqrt{xy^2}=\sqrt{2\cdot7\cdot3\cdot4\cdot2\cdot3\cdot5}\cdot\sqrt{xy^2}=\\\\=\sqrt{2^2\cdot3^2\cdot2^2\cdot5\cdot7}\cdot\sqrt{xy^2}=2\cdot3\cdot2\cdot\sqrt{35}\cdot y\cdot\sqrt{x}=\boxed{12y\sqrt{35x}}

3 0
3 years ago
Add one set of parenthesis to make the following equation true<br> 25 - 8 - 2 = 19
amid [387]
An easy way to do this is to do trial and error.

All possible places to put the bracket:

a) (25 - 8) - 2 = 19 But since BEDMAS goes from left to right with Addition and Subtraction, the equation is unaffected.
b) 25 - (8 - 2) = 19
25 - 6 = 19

Therefore b) is correct.


7 0
3 years ago
Other questions:
  • In △ABC , AC=12 in. , BC=1.5 in. , and m∠C=63° .  
    7·1 answer
  • a restaurant bill comes to $28.35. find the total cost if the tax is 6.25% and a 20% tipis left on the amount before tax
    15·1 answer
  • Can you please help me
    8·1 answer
  • If he pays $16.80 for one year. He receives one magazine each month for 12 months. Find the dollars he pays for each
    8·1 answer
  • Use the equation m Subscript PQ Baseline equals StartFraction f left parenthesis x 1 plus h right parenthesis minus f left paren
    8·1 answer
  • a circular mat has a circumference of 220 centimeters find the radius rounderd to the nearest whole number
    10·1 answer
  • Solve for x show all your work. 10x + 15 = 5x - 10​
    12·1 answer
  • A line has slope -1. It passes through the point Q(2, -n) and R(4, -3). What is the value of n?
    13·1 answer
  • It’s on the picture .
    14·1 answer
  • What is the quotient of 10?
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!