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iVinArrow [24]
3 years ago
11

Which compound sentence has its solution set shown on the graph below

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

A compound inequality is a sentence with two inequality statements joined either by the word “or” or by the word “and.” “And” indicates that both statements of the compound sentence are true at the same time.

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

Now as shown in the graph, the solution inequality of the graph is :

x > 3 and x < 5   [please note, circles in the graph indicate exclusion, dots indicate inclusion. in the graph given circles are shown, so it depicts exclusion]

Now let's solve each option to find if it fits in with the above inequality

Option 1 : 2x-4 > 6 or 3x < 9

⇒ x > 5 or x < 3

Option 2 : 2x - 4 < 6 and 3x > 9

⇒ x < 5 and x > 3

Option 3 : 3x + 8 > -7 or -4x < 12

⇒ 3x > -15 or x < -3

⇒ x > -5 or x < -3

Option 4 : 3x + 8 < -7 and -4x > 12

⇒ 3x < -15 and x > -3

⇒ x < -5 and x > -3


So the compound sentence in option 2 : 2x - 4 < 6 and 3x > 9

has its solution set on the graph.


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Need help on this one too
DedPeter [7]

Answer:

sin(θ)=4√41/41

cos(θ)=5√41/41

tan(θ)=4/5

cot(θ)=5/4

sec(θ)=√41/5

csc(θ)=√41/4

Step-by-step explanation:

4 0
3 years ago
Martin had 7 pounds of grapes left, and he gave away 2 5 of them. Explain how to use compatible numbers to estimate the amount o
nalin [4]

Compatible numbers are numbers which are easy to do mental calculation. For example is when doing division like 25 and 5, 100 and 10, and 36 and 6.

First, we know that: 7 pounds=5 pounds + 2 pounds

                                or 7=5+2

In mathematics, the word “of” means to multiply. So:

                                grapes given away = 7  * (2/5)

Replacing 7 with 5 and 2:

                                                                = (5+2)*(2/5)

Using the distribution principle:

                                                =5*(2/5) + 2*(2/5)

                                                =2+ 4/5

                                =2 4/5

So grapes given away is 2 4/5 pounds.

3 0
3 years ago
Read 2 more answers
What’s the correct answer for this question?
Genrish500 [490]

Answer:

PO = 20

Step-by-step explanation:

They are equidistant from the centre

PG = GO

x-4=1/2x+3

Multiplying both sides by 2

2(x-4)=x+6

2x-8=x+6

2x-x = 6+8

x = 14

Now

PO = 14-4+7+3

PO = 10+10

PO = 20

7 0
3 years ago
8 + 3 + 2a = -1 + 3a + 4
otez555 [7]

Answer:

a = 8

Step-by-step explanation:

8 + 3 + 1 - 4 = 3a - 2a

8 = a

a = 8

I hope this helps a little bit.

3 0
2 years ago
Read 2 more answers
In the diagram below, line segment bc is an altitude of triangle abd. What is the length of line age meant cd? If necessary, rou
Naddika [18.5K]
Check the picture below.

running a perpendicular line like so from the right-angle, makes three similar triangles, the large, containing the smaller ones, and a medium and a small one.  Now, using proportions, you can just  use there, the medium and smalle to get "x".

5 0
3 years ago
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