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

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Question 74834: solve the inequality
3y-4>-37

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

Question 74983: -2(n+1)-3<1
Click here to see answer by cathieb1225(41) About Me 

Question 75177: Solve the inequality. Then graph your solution. 6x-5<25
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Question 75164: Two trucks start from the same point traveling in different directions, One truck travels at a speed of 54 mi/h , the other at 48 mi/h. How long must they travel to be at least 408 mi apart?
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Question 75171: A purse contains 30 coins, all either quarters or dimes. The total value of the coins is greater than $5.20. At least how many of the coins are quarters? At most how many are dimes?
Click here to see answer by ptaylor(2198) About Me 

Question 75354: Can you tell me how to correctly explain to my son the steps to solve 0.6 < x < 0.75? Thank you.
Click here to see answer by stanbon(75887) About Me 

Question 75377:
solve the inequality:
w%2F8-13%3E-6

Click here to see answer by rahman(247) About Me 

Question 75337: Solve
root of 2x+8=x

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Question 75105: If f%28x%29=+x%28x%2B1%29%28x-4%29, use interval notation to give all values of x where f%28x%29%3E0.
Click here to see answer by ichudov(507) About Me 

Question 75680: 1.) k+1/2 < k/4+2 When solved the inequality k was = to 0, so the variable was 0!
Click here to see answer by jim_thompson5910(35256) About Me 
Question 75680: 1.) k+1/2 < k/4+2 When solved the inequality k was = to 0, so the variable was 0!
Click here to see answer by stanbon(75887) About Me 

Question 75702: What is the inequality of -6+5x<9
Click here to see answer by jim_thompson5910(35256) About Me 

Question 75703: What is the inequality of 15-x<7?

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Question 75766: what does -9<2b-13 equal

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Question 75923: How do you plot y=4x+4?
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Question 76065: 6x+5>53
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Question 76074: 5-3x>56
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Question 76074: 5-3x>56
Click here to see answer by bucky(2189) About Me 

Question 76053: find the possible values of n in the inequality -3n<81.
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Question 76090: 2x-13<_95
Click here to see answer by chitra(359) About Me 

Question 76101: find the possible values for s in the inequality 12s-20<50-3s-25.
Click here to see answer by wodkit02(9) About Me 

Question 76316: Help me solve this equation in interval notation -1 < 3x + 5 < 8.
Click here to see answer by bucky(2189) About Me 

Question 76511: x(x-4)=-8
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Question 76536: A small company produces both bouquets and wreaths of dried flowers. The bouquets take 1 hour of labor to produce, and the wreaths take 2 hours. The labor available is limited to 80 hours per week, and the total production capacity is 60 items per week. Write a system of inequalities representing this situation, where x is the number of bouquets and y is the number of wreaths. Then graph the system of inequalities.
Here is what i have so far:
x=40 items * 1 hour = 40 hours
y=20 items * 2 hours =40 hours
So I have the 60 items and the 80 hours, but how do I write a system of inequalities representing this and then how do I graph it. See I'm trying.

Click here to see answer by kev82(151) About Me 

Question 76935: can you help me solve this problem
-2<2x+1< or = 6

Click here to see answer by bucky(2189) About Me 

Question 76994: How do I know which direction to shade the graph in?
y>4x-1

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

Question 77020: The cost for a long-distance telephone call is $0.36 for the
first minute and $0.21 for each additional minute or portion thereof. Write an
inequality representing the number of minutes a person could talk without
exceeding $3.

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

Question 77018: 2 times a number, increased by 28, is less than or equal to 6 times that number.
Click here to see answer by bucky(2189) About Me 

Question 77017: 7(x – 3) > 5x - 14
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Question 77063: Hi,
I have no idea how to do this classwork problem. COuld you help? Thanks!

Solve for x. Collect xs on the LEFT side. The solution should be presented with x first, the correct inequality symbol, then the number.
x + 4 – 8x – 1 > 3(x – 2)

Click here to see answer by bucky(2189) About Me 

Question 77016: 3x > 2x - 4
Click here to see answer by tutorcecilia(2152) About Me 

Question 77252: Write the inequality in words. x > 2.




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Question 77252: Write the inequality in words. x > 2.




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

Question 77173: A long-distance phone call costs $1.11 for the first minute and $0.97 for each additoinal minute or portion thereof. Write an inequality representing the number of minutes a person could talk with out exceeding $6.
$1.11 first minute / 4.85 additional minute
Confuse on how to write an inequality...thanks.


Click here to see answer by ptaylor(2198) About Me 

Question 77595: Please help explain graphing inequalities! Thanks!
I understand how to find out how to place the "line" what is stumping me is how to figure out which side of the line to shade! My equation is x%3C1-y and I figured out where to place the "line" on the graph, I am confused on how to figure out which side of the line (top or bottom) to shade.
Thank You!
Josh

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

Question 77832: TRAVEL To get to the beach for vacation,Cheng's family must drive at least 660 miles on the first day. They are traveling at a constant speed of 60 miles per hour.
a.Write an inequality to represent how long the family should drive on the first day.
b. How many hours should the family drive?

Click here to see answer by uma(370) About Me 

Question 77974: -4>d-8
Can you help me break this down so I can understand it? I have a test tomorrow and my mind is blank. I think I go like this:
-4 -4 > d-8
then I'd have
0 > d-4
then
0x-4 < dx4 ..is this correct so far? Is that all? i think I'm supposed to draw a graph with this also.
Thanks,
Adam

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

Question 77997: #2: Solve each absolute value inequality using interval testing. Graph the solution on a number line
and write the solution using set-builder notation form or interval notation form.
a. The absolute value of 4k-20 is greater than or equal to 0.

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

Question 78080: solve the folowing inequation
x+3/x-2 less than equal to 2
i have solved this in the following way
x+3/ x-2 - 2 less than equal to 0
-x+7 / x-2 less than equal to 0
x-7/ x-2 greater than equal to 0
x belongs to (- infinity, 2 ) union [ 7, infinity)
SIR I CANNOT UNDERSTAND THIS FORM
x belongs to (- infinity, 2 ) union [ 7, infinity)


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Question 78184: is this statement true or false and explain why
0>-3

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

Question 78185: graph the inequality
y<-1

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Question 78187: graph the inequality
y+x>3

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Question 78550: I keep trying on this problem and I'm running out of time and sanity. Please for the love of God, help me. x5+24>3x3+8x2. I can't even figure out how to write it on the computer. That should be x to the power of 5, plus 24 > 3x to the power of 3 plus 8x squared. I understand that you need to bring everything over to equal 0. I have found one factor of it too, (x-2) but can't completely solve. Thanks so much!
Click here to see answer by jim_thompson5910(35256) About Me 

Question 78582: Find the three smallest consecutive odd integers such that their sum is at least 40. (Let x = the first odd integer)
I've tried x+x+2+x+4 is greater than or equal to 40
3x + 6 is greater than or equal to 40
3x is greater than or equal to 34
x is greater than or equal to 11.33333

Click here to see answer by checkley75(3666) About Me 

Question 78640: The square root of (6-x) + The square root of (5x + 6) = 6
Click here to see answer by stanbon(75887) About Me 

Older solutions: 1..45, 46..90, 91..135, 136..180, 181..225, 226..270, 271..315, 316..360, 361..405, 406..450, 451..495, 496..540, 541..585, 586..630, 631..675, 676..720, 721..765, 766..810, 811..855, 856..900, 901..945, 946..990, 991..1035, 1036..1080, 1081..1125, 1126..1170, 1171..1215, 1216..1260, 1261..1305, 1306..1350, 1351..1395, 1396..1440, 1441..1485, 1486..1530, 1531..1575, 1576..1620, 1621..1665, 1666..1710, 1711..1755, 1756..1800, 1801..1845, 1846..1890, 1891..1935, 1936..1980, 1981..2025, 2026..2070, 2071..2115, 2116..2160, 2161..2205, 2206..2250, 2251..2295, 2296..2340, 2341..2385, 2386..2430, 2431..2475, 2476..2520, 2521..2565, 2566..2610, 2611..2655, 2656..2700, 2701..2745, 2746..2790, 2791..2835, 2836..2880, 2881..2925, 2926..2970, 2971..3015, 3016..3060, 3061..3105, 3106..3150, 3151..3195, 3196..3240, 3241..3285, 3286..3330, 3331..3375, 3376..3420, 3421..3465, 3466..3510, 3511..3555, 3556..3600, 3601..3645, 3646..3690, 3691..3735, 3736..3780, 3781..3825, 3826..3870, 3871..3915, 3916..3960, 3961..4005, 4006..4050, 4051..4095, 4096..4140, 4141..4185, 4186..4230, 4231..4275, 4276..4320, 4321..4365, 4366..4410, 4411..4455, 4456..4500, 4501..4545, 4546..4590, 4591..4635, 4636..4680, 4681..4725, 4726..4770, 4771..4815, 4816..4860, 4861..4905, 4906..4950, 4951..4995, 4996..5040, 5041..5085, 5086..5130, 5131..5175, 5176..5220, 5221..5265, 5266..5310, 5311..5355, 5356..5400, 5401..5445, 5446..5490, 5491..5535, 5536..5580, 5581..5625, 5626..5670, 5671..5715, 5716..5760, 5761..5805, 5806..5850, 5851..5895, 5896..5940, 5941..5985, 5986..6030, 6031..6075, 6076..6120, 6121..6165, 6166..6210, 6211..6255, 6256..6300, 6301..6345, 6346..6390, 6391..6435, 6436..6480, 6481..6525, 6526..6570, 6571..6615, 6616..6660, 6661..6705, 6706..6750, 6751..6795, 6796..6840, 6841..6885, 6886..6930, 6931..6975, 6976..7020, 7021..7065, 7066..7110, 7111..7155, 7156..7200, 7201..7245, 7246..7290, 7291..7335, 7336..7380, 7381..7425, 7426..7470, 7471..7515, 7516..7560, 7561..7605, 7606..7650, 7651..7695, 7696..7740, 7741..7785, 7786..7830, 7831..7875, 7876..7920, 7921..7965, 7966..8010, 8011..8055, 8056..8100, 8101..8145, 8146..8190, 8191..8235, 8236..8280, 8281..8325, 8326..8370, 8371..8415, 8416..8460, 8461..8505, 8506..8550, 8551..8595, 8596..8640, 8641..8685, 8686..8730, 8731..8775, 8776..8820, 8821..8865, 8866..8910, 8911..8955, 8956..9000, 9001..9045, 9046..9090, 9091..9135, 9136..9180, 9181..9225, 9226..9270, 9271..9315, 9316..9360, 9361..9405, 9406..9450, 9451..9495, 9496..9540, 9541..9585, 9586..9630, 9631..9675, 9676..9720, 9721..9765, 9766..9810, 9811..9855, 9856..9900, 9901..9945, 9946..9990, 9991..10035, 10036..10080, 10081..10125, 10126..10170, 10171..10215, 10216..10260, 10261..10305, 10306..10350, 10351..10395, 10396..10440, 10441..10485, 10486..10530, 10531..10575, 10576..10620, 10621..10665, 10666..10710, 10711..10755, 10756..10800, 10801..10845, 10846..10890, 10891..10935, 10936..10980, 10981..11025, 11026..11070, 11071..11115, 11116..11160, 11161..11205