Questions on Algebra: Inequalities, trichotomy answered by real tutors!

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Question 485553: The highest January temperature in the United States was 98 degrees F in Laredo, Texas. The lowest January temperature in the United States was -80 degrees F in Prospect Creek, Alaska. Write an inequality that represents the various temperatures in the United Statues during January.
I'm working on writing inequalities, but I am unsure what to do with this problem. Could someone please help me?

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Question 484071: x-3≤-2/7
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Question 486079: 1/2*10*h=10h/2<40
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Question 486019: -3< 4-x<=3
Click here to see answer by Tatiana_Stebko(1539) About Me 

Question 486206: Write each specification as an absolute value inequality.
1.3(Less then or equal to) h (Less then or equal to) 1.5
Please help me solve this.

Click here to see answer by chessace(471) About Me 

Question 486616: Please help me with this inequality. I tried but my answer does not match up with the answer key.
-20/3<=-2/3-2y<=10/3
I multiplied each part by 3 to get rid of the fractions and got
-20<=-2-6y<=10
Then I added 2 to each side to get rid of the -2
-18<=-6y<=12
Then I divided by -6 and got
3<=y<=-6
That is what I got for my final answer. The answer the teacher gave us said
-2<=y<=3

Click here to see answer by chessace(471) About Me 

Question 486624: Please help me with this inequality. I am not quite sure how to do it.
3y+1<=5y-1<4(y+1)
First I distributed and got
3y+1<=5y-1<4y+4
This problem has the y variable on all 3 sides, so I am not sure what to do from there.

Click here to see answer by mananth(16946) About Me 

Question 486627: i just have a problem and i dont know how to solve it there it is 2x
Click here to see answer by unlockmath(1688) About Me 

Question 484280: Solve the inequality. Express the solution using interval notation and graph the solution set on the real number line.
1) (5/x^3-x^2-4x+4)<0.

Click here to see answer by lwsshak3(11628) About Me 

Question 485708: how to solve
4(n-2)-6> 18
-2(w+4)+9< -11
6x-13 < 6(x-2)
-7(3x-7)+21x > 50
~

Click here to see answer by lwsshak3(11628) About Me 

Question 485157: inequality
2x+5 greater than or equal to 2-(x-9)

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Question 486691: I am having trouble with this equation. I am usually fairly good at Inequalities however this one eludes me.
Solve for x: -5<-3(x-1.5)≤2
Here is what I have so far...
-5<-3(x-1.5)≤2
-5 <-3x+4.5 ≤ 2
-4.5 -4.5 -4.5
-9.5 < -3x ≤ -2.5
-9.5/-3 < -3x/-3 ≤ -2.5/-3
[ 3.16 > x ≥ .83 ] <---- Answer I came up with. Not sure if this is correct if not please help me find my flaw.

Click here to see answer by chessace(471) About Me 

Question 486902: Convert the decimal to a fraction 0.34 is it 3/4?
Click here to see answer by MathLover1(20849) About Me 

Question 486937: (y^2-3)(7y^2-5y+7)
Click here to see answer by max123(2) About Me 

Question 487456: 6n - 7 = 2n + 17
Click here to see answer by rfer(16322) About Me 

Question 487783: Solve the non linear inequality. Express the solution using interval notation and graph the solution set.
a) [4x/2x+3]>2

Click here to see answer by lwsshak3(11628) About Me 

Question 487886: Please help me with this problem: What is the solution to -17 - 2r < 3(r + 1)?
Thank you!

Click here to see answer by josmiceli(19441) About Me 

Question 487983: check wheather the orders pair is a solution of the given equation or inequality
1. y=2/3x-4,(10,4)
2. x=-3(-3,1)
3. 5x+y=10,(1,5)

Click here to see answer by stanbon(75887) About Me 

Question 488016: determine whether the given numbers are solutions of the inequality 8,-17,-18,-1
y-8>2y-3

Click here to see answer by John10(297) About Me 

Question 488542: Solve the inequality 8a-15>73
Click here to see answer by stanbon(75887) About Me 

Question 488590: (|(x-3)/2|)>=5
how can i solve this inequality?

Click here to see answer by lwsshak3(11628) About Me 

Question 488295: Solve the non-linear inequality. Express the answer using interval notation and graph the solution set.
a) x^5>x^2

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Question 488755: 4n-5(n-3)>3(n+1)-4
Click here to see answer by stanbon(75887) About Me 

Question 489167: Please help me answer this problem: Solve the inequality: 9r-(5r+6) is greater than or equal to -26.
Click here to see answer by stanbon(75887) About Me 

Question 489187: what is y>-2 on a number line?
Click here to see answer by rfer(16322) About Me 

Question 489734: What are the first and second steps performed in solving the inequality 2(4w + 8) – 2w + 42 > 78? Name the property used
Click here to see answer by MathLover1(20849) About Me 

Question 489743: Can you please walk me though this its a fraction and im getting 2 completly different answers when i solve this each time x/3-2>1-x/3
Click here to see answer by chessace(471) About Me 

Question 489866: A polar bear weighs 715 lb which is 585 lb less than a sea cow. How much does a sea cow weigh? (write an equation and solve)
Click here to see answer by stanbon(75887) About Me 

Question 484266: Solve the non-linear inequality. Express the solution using interval notation and graph the solution set.
1) x^2<4
2)X^5>X^2

Click here to see answer by lwsshak3(11628) About Me 

Question 489982: 2y+7>11 please help me answer this to check my work
Click here to see answer by MathLover1(20849) About Me 

Question 490225: Please help me with this Algebra problem. Thank you.
To convert the celsius tempture C to the fahenheit tempture F
x+10y=2, for y

Click here to see answer by MathLover1(20849) About Me 
Question 490225: Please help me with this Algebra problem. Thank you.
To convert the celsius tempture C to the fahenheit tempture F
x+10y=2, for y

Click here to see answer by Theo(13342) About Me 

Question 490228: Please help me with this Algebra problem. Thank you in advance.
2x^3+x^2-6(x^2+7x^3)

Click here to see answer by stanbon(75887) About Me 

Question 490222: Hi, will you please help me with this Algebra problem? If you can Thank you in advance.
Please Solve using the Addition and Multiplication principles.
2>9- x/5

Click here to see answer by stanbon(75887) About Me 

Question 490220: Hi, Please help me with this Algebra problem. Thank you in advance.
Solve using the multiplication principle. Also don't forget to check.
a/4=13

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Question 490230: solve the inequality q-2(2-q) less than or equal to 0
Click here to see answer by MathLover1(20849) About Me 

Question 490455: Hi, I am having trouble solving this inequality:
2x≤5-7x<7+x
The answer my textbook gives (in interval notation) is: (-1/4, 5/9]
I have tried several different ways of solving this problem but have not been successful. I would greatly appreciate any help you can provide.
Thank you!

Click here to see answer by stanbon(75887) About Me 

Question 490636: here are my quaestions for two seperate equations first what is
x+4<2
and then what is
3x+3<6?

Click here to see answer by richard1234(7193) About Me 

Question 490680: how to you solve 0 < x - 6 - 4 x
Click here to see answer by rfer(16322) About Me 

Question 490771: I need to remember how to do this:
solve the inequality: [x(x+5)^2]/(x^2-1)
answer is(-1,0)U(1,infinity). Just need to know how to solve these things. THANK YOU!!!!

Click here to see answer by richard1234(7193) About Me 

Question 490793: Here is the problem:
2/3(x+7)-(x/4)>1/2(3-x)+(x/6)
I come up with an answer of -38/9
I have seen a solution for this problem as -14/15
I don't understand how they came up with the solution. I have tried this problem several times

Click here to see answer by stanbon(75887) About Me 

Question 490839: I do not understand the set builder notation of this problem: 9 + 6y > 69
Click here to see answer by lwsshak3(11628) About Me 

Question 491090: Hi, Please help me with this problem. This is new to me. Thank you in advance.
Solve the inequality and represent your answer in Set Builder Notation Please show all work. Thanks again.
-3z - 7> -4z + 1

Click here to see answer by jim_thompson5910(35256) About Me 

Question 491164: Please help me with this algebra problem. Thank you in advance.
Solve using Addition and Multiplication principles Please show all work.
4x - 6 > -6

Click here to see answer by jim_thompson5910(35256) About Me 

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