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patriot [66]
3 years ago
6

Write an absolute value for all real numbers at least 3 units from -2

Mathematics
1 answer:
guajiro [1.7K]3 years ago
6 0
<span>{<span>xi</span>,...}</span><span>|3|≥x</span>something like this
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Solve (x+1&lt;5) n (x-4&gt; -3).<br> A (all real numbers)<br> B [x|1 C [x|x&lt;4 or x&gt; 1)
katovenus [111]

Answer:

  1 < x < 4 . . . . {x | x < 4 <u>and</u> x > 1}

Step-by-step explanation:

We want to write the answer as a compound inequality, if possible. As it is written, we can solve each separately.

  x + 1 < 5

  x < 4 . . . . . . . subtract 1

__

  x -4 > -3

  x > 1 . . . . . . . add 4

So, the solution is ...

  (x < 4) ∩ (x > 1) . . . . . . the intersection of the two solutions

As a compound inequality, this is written ...

  1 < x < 4

_____

<em>Comment on the problem</em>

The two answer choices shown don't make any sense. You might want to have your teacher demonstrate the solution to this problem.

7 0
3 years ago
Let A={2,3,4} B={2,5,6} C={5,6,2} and D={6}. Determine if the following statements are true:
Pie

Answer:

i. 4∈C => False

ii. 5∈C => True

iii. A = B => False

iv. B=C => True

Step-by-step explanation:

Given sets are:

A = \{2,3,4\}\\B = \{2,5,6\}\\C = \{5,6,2\}\\D = \{6\}

Lets look at the statements one by one.

<u>i. 4∈C</u>

This statement means that 4 is a member of set C. Looking at the members of set C, it can be concluded that the statement is wrong as C doesn't contain 4.

<u>ii. 5∈C</u>

This statement is true as 5 is a member of C.

<u>iii. A=B</u>

This statement states that set A is equal to set B. Two sets are said to be equal if there number of elements and members are same. Set A and Set B have different members so this statement is false.

<u>iv. B=C</u>

Set B and Set C have equal number of members and the members (5,6,2) are also same so the statement is true.

Hence,

i. 4∈C => False

ii. 5∈C => True

iii. A = B => False

iv. B=C => True

5 0
3 years ago
Don’t answer if you don’t know! Your question and account will be reported!
Mkey [24]

Answer:You can divide 54.50 by just 20% with it being 272.5

Step-by-step explanation: You can use it be fraction by dividing it by 20 then you have 2.725 which is the answer.

4 0
3 years ago
Yvonne continues to work full-time at her job while she attends college part-time. It takes 5 years for Yvonne to complete
Leni [432]
The answer to this is A
5 0
3 years ago
Solve for the variable <img src="https://tex.z-dn.net/?f=v_i" id="TexFormula1" title="v_i" alt="v_i" align="absmiddle" class="la
Mademuasel [1]

Answer:

±sqrt( (vf) ^2 -2ad)) = vi

Step-by-step explanation:

(vf) ^2 = (vi)^2 +2ad

Subtract 2ad from each side

(vf) ^2 -2ad = (vi)^2 +2ad -2ad

(vf) ^2 -2ad = (vi)^2

Take the square root of each side

±sqrt((vf) ^2 -2ad)) = sqrt((vi)^2)

±sqrt( (vf) ^2 -2ad)) = vi

3 0
4 years ago
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