If m > n, which inequalities must be true? Check all that apply. m + 2.1 > n + 2.1 m - (-4) > n -(-4) m + 3 > n-3 16.5 + m > 16.5 + n 1 m > n + 2 9 + m > 6 + 1

Answers

Answer 1

Answer:

Let's begin by listing out the information given to us:

m > n

We will proceed to solve the inequalities given as shown below:

$\begin{gathered} If\colon m>n \n \n m+2.1>n+2.1 \n \text{Subtract ''2.1'' from both sides, we have:} \n m>n \n m+2.1>n+2.1\Rightarrow m>n \n \therefore m+2.1>n+2.1(TRUE) \n \n m-(-4)>n-\mleft(-4\mright) \n \Rightarrow m+4>n+4 \n \text{Subtract ''4'' from both sides, we have:} \n m>n \n m+4>n+4\Rightarrow m>n \n \therefore m+4>n+4(TRUE) \n \n m+3>n-3 \n \text{Subtract '3'' from both sides, we have:} \n m>n-3-3\Rightarrow m>n-6 \n m>n-6\ne m>n \n \therefore m+3>n-3(FALSE) \n \n \end{gathered}$

The last three choices are below:

$\begin{gathered} 16.5+m>16.5+n \n \text{Subtract ''16.5'' from both sides, we have:} \n m>n \n 16.5+m>16.5+n\Rightarrow m>n \n \therefore16.5+m>16.5+n(TRUE) \n \n m>n+2 \n m>n+2\ne m>n \n \therefore m>n+2(FALSE) \n \n \n \end{gathered}$

The inequalities marked as TRUE are the inequalities that apply

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Mairé is thinking of two numbers. The first number is 14 less than the second number. When she adds them, she gets 40. Help her younger sister, Enya, figure out the numbers.

Answers

Using equations, the two numbers are 27 and 13, with the first number being 14 less than the second number, and their sum is 40.

How to use equations to find the two numbers?

Let's represent the two numbers as x (the second number) and y (the first number).

According to the given information:

The first number is 14 less than the second number: y = x - 14

When she adds them, she gets 40: x + y = 40

Now, we can use these two equations to find the values of x and y.

Substitute the value of y from the first equation into the second equation:

x + (x - 14) = 40

Now, solve for x:

2x - 14 = 40

2x = 54

x = 27

Now that we have the value of x, we can find y using the first equation:

y = x - 14

y = 27 - 14

y = 13

So, the two numbers are 27 and 13.

Learn more about equations on:

brainly.com/question/25678139

#SPJ3

Answer:

34 and 6 =40

Step-by-step explanation:

40 divided by 2=20 20-14=6 14+20=34

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