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Veronika [31]
3 years ago
14

Which of the following is the solution set for the conjunction –6 < 4x + 2 < 6? x>−32 and x<32 x >–2 and x < 1

x>−32 or x<32 x <–2 or x > 1
Mathematics
1 answer:
alisha [4.7K]3 years ago
3 0

-6

<em><u>Solution:</u></em>

<em><u>Given conjunction is:</u></em>

-6

We have to find the solution set

<em><u>Let us solve the given conjuction</u></em>

\mathrm{If}\:a

Therefore,

-6

<h3><em><u>Let us first solve -6 < 4x + 2</u></em></h3>

-6 < 4x + 2

Switch the sides by flipping the inequality symbol

4x+2>-6

\mathrm{Subtract\:}2\mathrm{\:from\:both\:sides}\\\\4x+2-2>-6-2\\\\\mathrm{Simplify}\\\\4x>-8\\\\\mathrm{Divide\:both\:sides\:by\:}4\\\\\frac{4x}{4}>\frac{-8}{4}

x>-2

<h3><u><em>Now let us solve 4x + 2 < 6</em></u></h3>

4x+2

\mathrm{Combine\:the\:intervals}

x>-2\quad \mathrm{and}\quad \:x

Merge\:Overlapping\:Intervals

-2

<h3><u>Thus the solution set for  –6 < 4x + 2 < 6 is:</u></h3>

-6

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Answer:

60

Step-by-step explanation:

So you first start off with 13 and 8 you subtract it and get five so he uses 5 every time he gets paid and you subtract 5 from 65 and get 60

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6 0
3 years ago
The Lynx star middle linebacker, Nat, is paid $500,000. He is guaranteed a 25% raise for each of the next three years. What will
shutvik [7]

Answer:

Nat's salary after 3 years = 976562.5 $

Explanation:

Salary of Nat =  $500,000

Raise in salary for next three years = 25 % = 0.25

Salary of Nat after 1 year = 500,000 + 0.25 * 500,000 = 625000 $

Salary of Nat after 2 years = 625000 + 0.25 * 625000 = 781250 $

Salary of Nat after 3 years = 781250 + 0.25 * 781250 = 976562.5 $

So, Nat's salary after 3 years = 976562.5 $

Easy Method;

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   Rate of increase = 0.25

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3 0
3 years ago
What is equivalent to 1/40
Nimfa-mama [501]
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5 0
2 years ago
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Which expression is represented by the diagram?<br> o -6-(-1)<br> o -6-1<br> o -5-(-1)<br> o -5-1
cupoosta [38]

Option A:

–6 – (–1)

Solution:

Minus symbol are given in the diagram.

There are 6 minus symbol in the diagram.

From that expression 1 minus symbol is cancelled.

<em><u>To find which expression represents this situation:</u></em>

Option A: –6 – (–1)

Total number of minus = –6

From this cancel one minus: –6 – (–1)

–6 – (–1) = –6 + 1 = –5

So, remaining minus are –5.

This is the correct answer.

Option B: –6 –1

–6 –1 = –7

But note that remaining 5 minus are only there in the diagram.

So, this is not correct answer.

Option C: –5 – (–1)

Totally 6 minus in the problem. But here only 5 minus are given.

So, this is not correct answer.

Option D: –5 –1

Totally 6 minus in the problem. But here only 5 minus are given.

So, this is not correct answer.

Hence –6 – (–1) is the correct expression which represented the diagram.

8 0
3 years ago
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