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
Over [174]
3 years ago
14

Solve (x - 2 < 5) ∩ (x + 7 > 6).

Mathematics
2 answers:
WITCHER [35]3 years ago
5 0

For this case we must solve the following expression:

x-2 intersected x + 7> 6

We have:

x-2

Adding 2 to both sides of the inequality:

x

The solution is given by all values of x less strict than 7.

Now we have:

x + 7> 6

Subtracting 7 from both sides of the inequality:

x> 6-7\\x> -1

The solution is given by all values of x higher than -1.

If we intersect the solutions we have:

The solution is given by all values of x between -1 and 7. That is:

(-1,7)

Answer:

-1

Scrat [10]3 years ago
3 0

Answer:

-1<x<7

Step-by-step explanation:

We need to solve each inequality and then from the interval of numbers they both have in common (doing this because of the 'and').

x-2<5

Add 2 on both sides:

x<5+2

Simplify:

x<7

These are values of x that are less than 7.

x+7>6

Subtract 7 on both sides:

x>6-7

Simplify:

x>-1

These are values of x greater than -1.

So the values they have in common are the numbers in between -1 and 7.

That is x<7 and x>-1.

You can also write it as -1<x<7.

Maybe you need a graph to convince you more.

○~~~~~~~~~~~~~~~~~~~~~~~~~~~

~~~~~~~~~~~~~~~~~~~~~~~~~○

‐-------------(-1)------------------------(7)-----------------

So where you see both graphs is the solution:

○~~~~~~~~~~~~~~○

‐-------------(-1)------------------------(7)-----------------

You might be interested in
A research study was conducted to measure the time students focus on a task before being distracted. The box plots show the dist
Tcecarenko [31]
The median attention span of college students is greater than the median attention span of high school students. 
<span>The interquartile range of attention spans of college students is greater than the interquartile range of attention spans of high school students.

are the correct answers</span>
6 0
3 years ago
Read 2 more answers
the minimum wage is established by the federal government. in 1938 the minimum wage was $0.25 per hour and it has risen to $7.25
sasho [114]

Answer:

0.25 = a b^0

a = 0.25

So then our model is given by:

y = 0.25 b^x

Now using the second condition we know that x = 2009-1938 =71 so then we have this:

7.25 = 0.25 b^{71}

We can divide both sides by 0.25 and we got:

\frac{7.25}{0.25}=29 = b^{71}

And then solving for b we got:

b = 29^{1/71}= 1.04856934

So then our model would be given by:

y = 0.25 (1.04856934)^x

Step-by-step explanation:

For this case we know that for 1938 the minimum wag was 0.25 per hour and for 2009 the new minimum wag was 7.25 per hour.

We want to find an exponential function like this:

y = a b^x

Where y represent the value for the minimum wage and x represent the number of years since 1938.

USing the first condition given we know that for 1938 the value of x = 0 and w ehave:

0.25 = a b^0

a = 0.25

So then our model is given by:

y = 0.25 b^x

Now using the second condition we know that x = 2009-1938 =71 so then we have this:

7.25 = 0.25 b^{71}

We can divide both sides by 0.25 and we got:

\frac{7.25}{0.25}=29 = b^{71}

And then solving for b we got:

b = 29^{1/71}= 1.04856934

So then our model would be given by:

y = 0.25 (1.04856934)^x

4 0
3 years ago
Multiplying by which number is equivalent to finding 123.123%?
marusya05 [52]

*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆**☆*――*☆*――*☆*――*☆

Answer: Multiplying by 1.23123

Explanation: Slide the decimal points over by 2 points

I hope this helped!

<!> Brainliest is appreciated! <!>

- Zack Slocum

*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆**☆*――*☆*――*☆*――*☆

3 0
3 years ago
Math Help Please....
DerKrebs [107]
  2x+10           x + 3
------------ = --------------
     10                 4

4(2x+10) = 10(x+3)
8x + 40 = 10x + 30
2x = 10
  x = 5

AE =2x+10 = 2(5) +10 = 20

answer
20 units

4 0
3 years ago
Read 2 more answers
−4p+9=−5<br><br><br> Plzzzzzzz help
Hoochie [10]

Answer:

p = 3.5 or p = 7/2

Step-by-step explanation:

-4p+9= -5

or, -4p = - 14

or, p = -14/-4

or, p = 7/2 = 3.5

5 0
3 years ago
Read 2 more answers
Other questions:
  • Ms. Taylor works for the National Weather Service. Which of the following is a statistical question that Ms. Taylor can be asked
    14·2 answers
  • ella runs a cat rescue center. She started with 2 cats, and her center has an increase of 5 cats per year. Which of the graphs b
    13·1 answer
  • What is 12/27 (it is a fraction) turned into a decimal
    12·1 answer
  • one month charlie rented 2 movies 3 video games for a total of $21. The next month he rented 4 movies and 8 video games for a to
    14·1 answer
  • A subway vending machine offers a bonus on
    5·1 answer
  • The question is below
    8·1 answer
  • I NEED UR HELP ASAP!! PLEASE
    9·1 answer
  • Complementary Angles: Two angles whose sum is _________?​
    11·2 answers
  • Solve each inequality and graph the solution set
    6·1 answer
  • Expand using the distributive property:<br> 7(3a-2b) + 5(3b-4a) =
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!