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
sergeinik [125]
3 years ago
13

Match each equation with its solution set.

Mathematics
1 answer:
taurus [48]3 years ago
4 0

Answer:

1- The solution of I2x + 5I = 9 is {-7 , 2}

2- The solution of I2x + 7I + 2 = 11 is {-8 , 1}

3- The solution of I5 - xI = 6 is {-1 , 11}

4- The solution of I6x - 8I + 7 = 5 is ∅

5- The solution of Ix + 3I = 12 is {-15 , 9}

6- The solution of Ix - 3I = -12 is ∅

Step-by-step explanation:

* At first lets explain the meaning of IxI = a

- If IxI = a ⇒ then x = a or x = -a

- IxI never give a negative answer, because IxI means the

 magnitude of x is always positive

Ex: I-2I is 2

* Now lets find the solution of each equation

1- ∵ I2x + 5I = 9

∴ 2x + 5 = 9 ⇒ subtract 5 from both sides

∴ 2x = 4 ⇒ divide both sides by 2

∴ x = 2

OR

∴ 2x + 5 = -9 ⇒ subtract 5 from both sides

∴ 2x = -14 ⇒ divide both sides by 2

∴ x = -7

* The solution of I2x + 5I = 9 is {-7 , 2}

2- ∵ I2x + 7I + 2 = 11 ⇒ Subtract 2 from both sides

∴ I2x + 7I = 9

∴ 2x + 7 = 9 ⇒ subtract 7 from both sides

∴ 2x = 2 ⇒ divide both sides by 2

∴ x = 1

OR

∴ 2x + 7 = -9 ⇒ subtract 7 from both sides

∴ 2x = -16 ⇒ divide both sides by 2

∴ x = -8

* The solution of I2x + 7I + 2 = 11 is {-8 , 1}

3- ∵ I5 - xI = 6

∴ 5 -x = 6 ⇒ subtract 5 from both sides

∴ -x = 1 ⇒ divide both sides by -1

∴ x = -1

OR

∴ 5 -x = -6 ⇒ subtract 5 from both sides

∴ -x = -11 ⇒ divide both sides by -1

∴ x = 11

* The solution of I5 - xI = 6 is {-1 , 11}

4- ∵ I6x - 8I + 7 = 5 ⇒ Subtract 7 from both sides

∴ I6x - 8I = -2

- I  I never give negative answer

* The solution of I6x - 8I + 7 = 5 is ∅

5- ∵ Ix + 3I = 12

∴ x + 3 = 12 ⇒ subtract 3 from both sides

∴ x = 9

OR

∴ x + 3 = -12 ⇒ subtract 3 from both sides

∴ x = -15

* The solution of Ix + 3I = 12 is {-15 , 9}

6- ∵ Ix - 3I = -12

- I  I never give negative answer

* The solution of Ix - 3I = -12 is ∅

You might be interested in
First anserw gets brainest 8th grade, root squared question
Katen [24]

Answer:

±11

11*11=121

-11*-11=121

4 0
3 years ago
Answer: Alex is making a clock to give to his grandfather. To make the clock, he saws a slice of wood from a cylindrical log. Wh
ss7ja [257]
It would be circular since it was cut from a cylindrical log.

Hope This Helps You!
Good Luck Studying :)
7 0
3 years ago
Read 2 more answers
8/10x 1 3/5 =? would be what?
Aleonysh [2.5K]
8/10 x 1 3/5 = ?
first u need to find the mixed fraction is 8/5: 1 3/5 = 8/5
8/10 x 8/5 = 64/50 
64/50 in simplest form: 32/25 
32/25 equals to 1 7/25
so the answer is 1 and 7/25

6 0
3 years ago
Emilia bought 9/12 pound of sliced salami at the deli counter.Which of the following decimals did the scale show?
Daniel [21]
To start this problem, what we need to do is try to simplify the fraction into one we might know already. The best way to go about doing this is to see if we can divide the top and bottom by any of the same numbers. 

We can divide 9 by 1, 3, and 9
We can divide 12 by 1, 3, 4, and 12

Looking back over the  numbers, we can see that both 9 and 12 are divisible by 3, so if we divide both of them by 3, we will get a new fraction! This fraction will be 3/4.

Our next step is to see if we know what 3/4 is. I know 1/4 is .25 because the coin called a quarter is 25 cents, so if I had 3 quarters, I would have 75 cents, so I know know that 9/12 = 3/4 = .75!
8 0
3 years ago
Bounce world offers birthday parties for $140 plus $6 per person. If you can spend no more than $240, how many people can you in
ryzh [129]

Answer

The most people you can invite with no more than $240, is 16 people.

Step-by-step explanation:

6x+140=240

6x = 100

x = 16.6666667

Therefore

x = 16.

7 0
3 years ago
Other questions:
  • I need help ASAP. Only have until 2:59 to get this in its not 12:29 HELP!!
    5·1 answer
  • If ΔABC and ΔXYZ are similar, which must be true? A) BC YZ = AC YX B) BC YZ = BA XZ C) AC XZ = BC YZ D) AC XZ = BA XZ
    14·2 answers
  • How to rename fraction
    5·1 answer
  • I asked this earlier and got no answer. Will give brainliest
    6·1 answer
  • Write 7.104 as a fraction or mixed number
    12·2 answers
  • The radius of a circle is 28 centimeters. Which measurement is closest to the circumference of the circle in centimeters?​
    11·1 answer
  • The equation F=9/5C+32 relates temperature measured in degrees Celsius, C, to degrees Fahrenheit, F. Determine wether there is a
    15·1 answer
  • a total of 10000 was invested in two business ventures A and B .at the of the first year A and B yielded returns of 6% and 23÷4
    12·1 answer
  • I need help as fast as possible ​
    12·2 answers
  • In an experiment, there are n independent trials. For each trial, there are three outcomes, A, B, and C. For each trial, the pro
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!