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Vinvika [58]
3 years ago
8

Solve the inequality x-4 < - 3.Then graph the solution set.show your work.

Mathematics
1 answer:
bearhunter [10]3 years ago
8 0

Answer:

x < 1

Step-by-step explanation:

x - 4 < - 3

<u>  + 4    +4</u>                        Do inverse operations by adding 4 on both sides

    x < 1

Therefore, the answer is x < 1.

(It isn't allowing me to attach a photo but I am just going to try make a visual of the graph below)

<------------------------------o------------------>

-4    -3    -2    -1     0    1     2    3      4

The circle is open because based on the concept that in inequalities, <em>less/greater than and/or equal to (such as these ≥ ≤ )</em> signs are graphed with closed circles, while less/greater than (like these > <) signs are graphed with open circles. The direction of the arrow is moving to the left on the number line because all possible values for x would be less than 1. When graphing the inequality you would use a solid line rather than a dashed line (I had to improvise since I could not attach an image).

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Molodets [167]

Answer:

Step-by-step explanation:

More than anything else, Algebra is a procedure. It has rules and axioms which when followed produce answers to problems -- problems that may not yield anything without Algebra.

These axioms and rules are familiar to anyone who has taken a course in advanced Mathematics. So each person who knows the procedure knows also how mathematics can work. It is a universal language spoken by those trained in what it offers to the education of both the "sender" and the "receiver."

3 0
2 years ago
If total liabilities decreased by $60,000 and stockholders' equity increased by $20,000 during a period of time, then total asse
Lena [83]

Answer:

$40,000 decrease

Step-by-step explanation:

Change in total assets = Total Liabilities Decreased- StockHolders' equity increased

Change in total assets = 60000 - 20000

Change in total assets = $40,000 decrease

So, If total liabilities decreased by $60,000 and stockholders' equity increased by $20,000 during a period of time,<u><em>then the change in total assets will consist of a </em></u><u><em>decrease of $40,000 </em></u>

3 0
3 years ago
What is the value of the function when x = 3?<br><br> x −2 −1 1 3 4<br> y 4 3 6 5 8
Anon25 [30]
It tells us that:

(-2,4)
(-1,3)
(1,6)
(3,5)
(4,8)

Look at (3,5) ... it tells us that x = 3 and y = 5

So y = 5
6 0
3 years ago
Please Help!! Give Brainly!!<br> What is the value of (14^0) ^-2?<br> -1/196<br> 1/196<br> 0<br> 1
Trava [24]

Answer:

so option 1 is correct

Step-by-step explanation:

(14^0) ^-2

power 0 * -2 = 0

if power is 0 then it equals to 1  so

14^0

= 1

8 0
3 years ago
Jada, Lin, and Elena are saving money for a trip. Together they saved $120. Jada saved $20 less than Lin. Lin saved 3 times as m
otez555 [7]

Answer:

Jada saved $40, Lin saved $60 and Elena saves $20

Step-by-step explanation:

Let the amount saved by Jada be x

Let the amount saved by Lin be y

Let the amount saved by Elena be z

If together they saved $120, then x+y+z = $120 ......... 1

If Jada saved $20 less than Lin, then x = y- 20 .....2

If Lin saved 3 times as much money as Elena, then y = 3z ...... 3

From equation 3, z = y/3 ....... 4

substitute equation 2 and 4 into 1;

x+y+z = $120

(y- 20)+ y + y/3 = 120

2y + y/3 - 20 = 120

2y + y/3 = 120+20

2y + y/3 = 140

multiply through by 3

6y + y = 420

7y = 420

divided through by 7

7y/7 = 420/7

y = 60

Since y = 3z

60 = 3z

z = 60/3

z = 20

From equation 2, x = y- 20

x = 60-20

x = 40

Hence Jada saved $40, Lin saved $60 and Elena saves $20

3 0
3 years ago
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