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Luda [366]
3 years ago
11

Write a compound inequality that each graph could represent for the following questions.

Mathematics
1 answer:
ivanzaharov [21]3 years ago
3 0

Answer:

Part 67) x > -2  and x < 3

Part 68) x\leq -1  or  x\geq 1

Step-by-step explanation:

Part 67) we know that

The solution of the number line is the interval -------> (-2,3)

All real numbers greater than -2 and less than 3

so

The compound inequality could be

x > -2  and x < 3

"And” indicates that, both statements must be true at the same time

Part 68) we know that

The solution of the number line is the interval (-∞,-1] ∪ [1,∞)

All real numbers less than or equal to -1 or all real numbers greater than or equal to 1    

The compound inequality could be

x\leq -1  or  x\geq 1

"Or” indicates that, as long as either statement is true, the entire compound sentence is true

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Which type of number is divisible by two?<br> even<br> odd<br> NEXT QUESTION<br> O<br> ASK FOR HELP
lutik1710 [3]

Answer:

even

Step-by-step explanation:

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3 0
3 years ago
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Solve for x. one fifth times the absolute value of the quantity x minus 4 end quantity minus 3 equals 6 A. x= -19 and x =-11 b.
Firdavs [7]

The value of x in the given expression can be either -41 or 45. The correct option is B.

<h3>What is Absolute Value?</h3>

An absolute value of |x| {modulus of x} is the value of a real number x, the value we get is always a non-negative number, for example, |-5| will give 5, and also, |5| will give 5 as well.

Given the modulus function (1/5)|x - 4| - 3 = 6. Now, there will be two cases of this because the value of x can be either negative, x<0 or it can positive, x>0. Therefore, the given modulus function can be solved as shown below.

  • When x>0,

(1/5)(x-4) - 3 = 6

(x/5) - (4/5) - 3 = 6

(x - 4 - 15)/5 = 6

x - 4 -15 = 30

x = 30 + 15 + 4

x = 45

  • When x<0

(1/5)(-x+4) - 3 = 6

(-x/5) + (4/5) - 3 = 6

(- x + 4 - 15)/5 = 6

- x + 4 -15 = 30

-x = 30 + 15 - 4

-x = 41

x = -41

Hence, the value of x in the given expression can be either -41 or 45.

Learn more about Absolute value here:

brainly.com/question/1301718

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6 0
1 year ago
X + 14 = 56 What would I do to both sides to answer this equation? O Multiply both sides by 14 © Subtract both sides by 14 Subtr
Lorico [155]

To solve for X in this equation, you would subtract both sides by 14 because our goal is to get X on its own. If we write it out, we see that

X + 14 - 14 = 56 - 14

X=42

Because we have a positive 14, a negative 14 will average out to be 0, but what you do to one side, you must do to the other.

If you have any more questions, feel free to ask!

8 0
3 years ago
F=fg/f+g-d Solve for f. F and f are different!
Masteriza [31]
You are the smartest person i know
5 0
3 years ago
Three times the second of three consecutive even integers is twelve less than twice the sum of the first and third integers.Find
Tresset [83]

Answer:

The largest even integer is <u>14</u>.

Step-by-step explanation:

Given:

Three times the second of three consecutive even integers is twelve less than twice the sum of the first and third integers.

Now, to find the largest even integers.

As, 2 is an even number.

Let an even integer be 2x.

So, the three consecutive even integers are:

2x,\ 2x+2,\ and\ 2x+4.

Now, we have to add two to get next even number.

Thus, 3 times the second one of these is:

3(2x + 2) \\= 6x + 6

Now, the sum of the first and third ones are:

2x + 2x + 4 \\= 4x + 4

So, the twice the sum of the first and third integers is less than twelve:

2(4x+4)-12\\=8x+8-12\\=8x-4

Now, 3 times the second is 12 less than twice the sum of the other two:

6x+6=8x-4

<em>Getting the variables on one side and the number on other:</em>

6+4=8x-6x

10=2x

<em>Dividing both sides by 2 we get:</em>

5=x

x=5.

Now, the even numbers we get are:

2x=2\times 5=10\\2x+2=2\times 5+2=10+2=12\\2x+4=2\times 5+4=10+4=14.

<em>Thus, the third number is the largest number which is 14.</em>

Therefore, the largest even integer is 14.

 

8 0
3 years ago
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