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scZoUnD [109]
2 years ago
12

Which Graph Represents The solution set of this inequality?

Mathematics
1 answer:
Alex2 years ago
5 0

Answer:

B

Step-by-step explanation:

1. In order to determine the inequality, you must first solve the solution set to determine what x is less than.

So you would do this:

1 + 2x < 9             Subtract 1

2x < 8                  Divide by 2

x < 4

2. Next, you need to understand the difference between an open circle and a closed circle shown on the solution sets.

An open circle is equal to the following inequalities:

<, >

A Closed circle represents inequalities in situations such as:

greater than or equal to, or less than or equal to

3. Because the inequality above represents only less than or greater than the inequality sets should have an open circle being used.

Since x is less than 4 it should be moving to the left of the line inequality set.

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(Before you answer I am looking for how I do it. I have the answers but I need to know an equation to do this instead of using l
Tema [17]

Answer:

14 and 16.

Step-by-step explanation:

We know that two consecutive even numbers is 30.

Let's let n be <em>any number</em>.

Then the first <em>even</em> number must be 2n.

This is because n can be any number, either even or odd. However, if we multiply it by 2, this <em>ensures</em> that 2n is even. Remember that any number multiplied by 2 yields an even number.

Therefore, the consecutive even number will be (2n+2). Not (2n+1), because that gives an odd number.

We know that they sum to 30. So, we can write the following equation.

(2n)+(2n+2)=30

And we solve from there:

4n+2=30\\\Rightarrow4n=28\\\Rightarrow n=7

So, the value of n is 7.

Therefore, the first even number is 7(2)=14.

And the consecutive even number is 16.

Edit: Typo

7 0
2 years ago
Pencils are on sale for 25 for $1.25. Based on this rate, how much would one pencil cost?
Marat540 [252]

Answer:

$0.05

Step-by-step explanation:

1.25/25=0.05

6 0
2 years ago
Erin feeds her dog 7/10 cup of food a day . With 3/10 cup canned and the rest dry . She also gives her dog 1 treat a day . How m
gavmur [86]

Answer:

2\frac{4}{5}\ \ or \ 2.8 \ \ cups

Step-by-step explanation:

-The total portion fed to the dog is 7/10 cup

  • Canned-3/10
  • Dry=7/10-3/10=4/10

-One week has 7 days. we multiply the dry portion per day by the number of days in a week.

Dry= Total -Canned\\\\=\frac{7}{10}-\frac{3}{10}\\\\=0.40 \ cup\\\\Dry \ per \ Week= Dry/ day\times days\\\\=0.40\times 7\\\\=2\frac{4}{5}\  or\  2.8 \ cups

Hence, Erin feed her dog 2 4/5 0r 2.8 cups of dry food

5 0
3 years ago
Help would be greatly appreciated!
hammer [34]

Answer:

c

Step-by-step explanation:

4 0
3 years ago
Read 2 more answers
The goal of the fundraiser to make than $150
Sergio039 [100]

Answer:

Step-by-step explanation:

Making more than $150

Let the amount to be made be x.

Then: x+$150 will be the amount needed to be made

7 0
3 years ago
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