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

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Question 730044: Annie plans to grow vegetables in her backyard. She wants to grow onions and tomatoes,and plans to buy 6 times as many onion plants as tomato plants. Tomato plants cost $0.99 each and onion plants cost $0.08 each. Annie has $60 to spend. If Annie buys exactly 6 times as many onion plants as she buys tomato plants, how many onion plants can she buy without going over $60?
Can you help me? I've tried: (x=onion,y=tomato)
0.08(6)x <= $60-0.99 y <- but i got 9.35

Click here to see answer by lynnlo(4176)

Question 730124: solve the inequality -4<-3y+2<11
Click here to see answer by Edwin McCravy(20054)

Question 730471: Please help me solve this inequality: 7-3(7x-5)<1
Click here to see answer by rfer(16322)

Question 730756: 1. y =1/9 _< 7/18
2. -6y_< 1/4
3. 8-5x _< 3-2x
4. 0.70c-15+c_>2c-8-0.4c
Click here to see answer by lynnlo(4176)

Question 730881: How do you find the solution of 32/x>-4 and then how do you graph that solution?
Click here to see answer by josgarithmetic(39616)

Question 730881: How do you find the solution of 32/x>-4 and then how do you graph that solution?
Click here to see answer by stanbon(75887)

Question 731571: how to find the x value?
7-(x/2)=x+5
Click here to see answer by MathLover1(20849)

Question 731648: can you answer this problem for me step by step
4x-3<2-x
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Question 731725: Let b>2. Describe how you would determine if ab>2a.
Click here to see answer by fcabanski(1391)

Question 731901: I am stuck on a question on one of my tests.
.
Solve the inequality: |3 - 3x/4| >= 9
.
I know the equation will be an inequality, but I've tried several times and I haven't been right. Could I have some help understanding how to tackle this, and all the steps involved?
Click here to see answer by josgarithmetic(39616)

Question 731984: Suppose a,b,c,d are positive integers with a <= c <= d and c/d <= a/b. Prove that (a-b) <= (d-c).
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Question 731982: Suppose a, b, c, d are positive integers with a ≤ c ≤ d and c/d ≤ a/b. Prove that (b - a) ≤ (d - c)
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Question 732368: Which ordered pair is a solution of the following system of linear inequalities:
y ≤ x + 2
y + x ≥ 4
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Question 732421: determine if the open sentence x-2 > 4 and the compound inequality -2x < 4 or x > 6 have the same solution set
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Question 732586: what is the solution set of the inequality 5-(x+4)<=-3?
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Question 732854: why y(1)/(100) +x(1)/(60)≤2400 can be written as
5x+3y<=720000

Click here to see answer by josgarithmetic(39616)

Question 732931: why y(1)/(100) +x(1)/(60)≤2400 can be written as
5x+3y <= 720000
you already give the answer that is
"Lowest common denominator is 300. Other than that, a general law of inequalities is that if , and if , then . The left and right members of your first inequalites can be multiplied by 300 and you obtain an equivalent inequality, which is your second mentioned inequality."
but i can't understand. how to determine the lowest common denominator? i hope you can help me
Click here to see answer by solver91311(24713)

Question 732978: Ten is at most the sum of one-half of a number and 21
plese translate into inequality
Click here to see answer by checkley79(3341)

Question 732978: Ten is at most the sum of one-half of a number and 21
plese translate into inequality
Click here to see answer by MathLover1(20849)

Question 733063: What algebraic inequality represents all real numbers y that are greater than or equal to 12
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Question 733188: 15-8+3<16
I need help solving this inequality:)
Click here to see answer by mbmodak(32)

Question 733585: x + -3(x + 3) >= 77
Click here to see answer by lenny460(1073)

Question 733810: the cost.in dollars.Of publishing x books is C(x)=40.000 + 20x +0.0001x^2 .How many books can be published $250.000?
Click here to see answer by MathLover1(20849)

Question 734194: The sum of five times a number and four is equal to negative eleven. What is the number
Click here to see answer by Athenal(3)

Question 734307: how do i know the unwanted region?
Click here to see answer by lynnlo(4176)

Question 734576: Select the values of x that are solutions to the inequality 0 > x^2 + 5x -2
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Question 734784: 3+n>14
Click here to see answer by jim_thompson5910(35256)

Question 734999: Which is the solution set to the given inequality?
2x+6<8
Click here to see answer by lynnlo(4176)

Question 735156: Please help me solve this inequelitie: |x-2| + |x+3| < |2x-2|
Click here to see answer by josgarithmetic(39616)

Question 735228: If N^20 < 3^50, then what is the largest possible value of N?
Click here to see answer by solver91311(24713)

Question 735308: How To Write A Linear Inequality in two variables that represent this problem situation where x is the number of juices he can by and y the number of snacks he can buy??: Tom has 16$ to spend on juice and snacks for the week. juice costs 3$ and snacks cost 2$

Click here to see answer by solver91311(24713)

Question 735636: Which is the solution set to the given inequality?
2x + 6 < 8
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Question 736119: 8(3x-6)=4(6x+9)is this an empty solution set

Click here to see answer by richwmiller(17219)

Question 736122: Simplify: 3(x-12)-11-3(x-4)
Click here to see answer by checkley79(3341)

Question 736588: h+1<7

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Question 736983: Solve using the addition and multiplication principles:
2(r-8)+4>3(r+3)-18
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Question 736959: what is the sloution to the inequality 4x-8 < -2.5

Click here to see answer by jim_thompson5910(35256)

Question 737197: Which of the following inequalities is true for all real numbers?
x^3 > or equal to x^2
3x^2 > or equal to 2x^3
(2x)^2 > or equal to 3x^2
3(x-2)^2 > or equal to 3x^2 - 2
Click here to see answer by fcabanski(1391)

Question 737211: Solve the inequality: 8x^2<9-x
Click here to see answer by richwmiller(17219)

Question 737211: Solve the inequality: 8x^2<9-x
Click here to see answer by stanbon(75887)

Question 737291: Dale drives a truck for a soft drink company. His truck is filled with cans that weigh ounces and bottles that weigh ounces. The truck must be carrying less than pounds ( ounces). Write an inequality giving the number of the -ounce cans, , and the number of the -ounce bottles, , that the truck can hold and not be overweight.
Click here to see answer by richwmiller(17219)

Question 737468: Use the multiplication property of inequalities to solve the inequality. Graph the solution set. 3/4x >= -1/8. (three fourths x is greater than or equal to negative one eighth)
Click here to see answer by lynnlo(4176)

Question 737467: the average male blue whale weighs 16 times the weight of the average African elephant. two elephants and a blue whale together would weigh 135 tons. how much does the average male blue wale weigh?

Click here to see answer by lynnlo(4176)

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