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

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Question 1057332: From 1960 to 1990, the average annual U.S. consumption of pork dropped from 62 pounds to 52 pounds. The average annual consumption of chicken rose from 31 pounds to 66 pounds. Write an inequality that represents which years the consumption of chicken exceeded the consumption of pork.
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Question 1057496: Using "Completing the Square" to find ALL solutions for: X^2-6x=40
How do you find ALL solutions?

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Question 1057643: solve exactly over 0 ° ≤ θ < 360° : 4cos^2θ - 4sinθ =5
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Question 1057779: 9x÷7-x<2

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Question 1057779: 9x÷7-x<2

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Question 1057771: If |y+8|+2=6,then y+8=+/-4 Is this true or false? If false,please correct |y+8| +2=6.
Thanks for taking the time to help me.

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Question 1057777: What is 9x÷7-x<2

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Question 1057803: What is 3+(2x÷5)≥17-x
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Question 1057761: If |w-7|>-3,then w-7>-3 or w-7<3 Is this true or false? If false,then please correct the |w-7|<-3.
Thank you for taking time to help me.

Click here to see answer by josgarithmetic(39615) About Me 
Question 1057761: If |w-7|>-3,then w-7>-3 or w-7<3 Is this true or false? If false,then please correct the |w-7|<-3.
Thank you for taking time to help me.

Click here to see answer by ikleyn(52772) About Me 

Question 1057708: Twice the sum of x+8 is less than or equal to 16
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Question 1057768: If -4<-2t+6<10,then 2>t+6>-5 Is this true or false? If false,please correct the 2>t+6>-5 part.
Thank you for taking time to help me.

Click here to see answer by solve_for_x(190) About Me 

Question 1058098: Can you help me solve -8 greater than or equal to x divided by 2
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Question 1058203: -5<2x+1<=5

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Question 1058203: -5<2x+1<=5

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Question 1058346: Find the solution of x^2 + 7x - 8 > 0
choices
a. -1 < x < 8
b. -8 < x < 1
c. x < -8 or x > 1
d. x < -1 or x > 8

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Question 1058759: If a Baseball is thrown straight upward from level ground with an intial velocity of 72 ft/sec, its altitude s (in feet) after t seconds is given by s = -16t^2 + 72t. For what values of t will the ball be at least 32 feet above the ground?
Inequality question

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Question 1059059: the graph of f(x) has a vertical asymptote at x=4. based on the context of the problem, why should there be a vertical asymptote at x=4?

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Question 1059115: I need help with this equation please. Not sure how to solve this
(p2+7p)/(3p)

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Question 1059527: Three less than x is greater than -4 and less than -1
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Question 1059747: Need help on the following: which inequality is a solution for the point (0,0)
1) y<-3/2 x +3
2) 2x+y<10
3) y>-1

Thank you.

Click here to see answer by KMST(5328) About Me 

Question 1059750: Can you tell me which inequality is a solution for the point (0,-4)
y<-3/2x+3
2x+y<10
y>-1
Thank you.

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Question 1059749: Need help.Can you tell me which inequality is a solution for the point (-4,-2)
y<-3/2x+3
2x+y<10
y>-1

Thank you.

Click here to see answer by Fombitz(32388) About Me 

Question 1059966: Solve the inequality (3x+2)/((x+1)(2x))< or equal to 0
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Question 1059886: For the point listed below,show the inequality(s)for which it is a solution.
(5,0)
y<-3/2x+3
2x+y<10
y>-1

Thank you.

Click here to see answer by rothauserc(4718) About Me 

Question 1060165: solve the inequality: 3(11x+y)>=23x+(15)
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Question 1060170: given the formula V=pie r^2h, solve for h.
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Question 1060169: sketch a graph of the system of inequalities on a sheet of paper.
y<=-x-6
y>=2x+3
Determine if the following point satisfies the system:
(-10, 0)
yes or no

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Question 1060255: Jesse has a total of 94 points on the first 7 quizzes in her sociology class. How many total points must she earn on the remaining 6 quizzes in order to have more than 145 points for the semester?
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Question 1060273: Will someone please solve this inequality,if possible,and graph:
3/7(2p-14)>6/7p-6
I would appreciate your help.
Anneliese

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Question 1060412: Solve (3x+1)/(x+4) > or = 1

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Question 1060410: -2x+12 < 4x-17

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Question 1060470: what the sum of two consecutive integers is greater than 48. find two positive integers with with the least sum?


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Question 1060643: An open-topped box can be created by cutting congruent squares from each of the four corners of a piece of cardboard that has dimensions of 20cm by 30cm and folding up the sides. Determine the dimensions of the squares that must be cut to create a box with a volume of 1008cm^3.
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Question 1060643: An open-topped box can be created by cutting congruent squares from each of the four corners of a piece of cardboard that has dimensions of 20cm by 30cm and folding up the sides. Determine the dimensions of the squares that must be cut to create a box with a volume of 1008cm^3.
Click here to see answer by ikleyn(52772) About Me 

Question 1060642: If f(x)= 2x^3-x^2+3x+10 and g(x)= x^3+3x^2+2x+4, determine when f(x)>g(x) using a factor table strategy.
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Question 1060796: Which makes the inequality false? X <10
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Question 1060936: Suppose that an engineer determines that she can use the formula -r^2+14≤P to estimate when the price of carbon fibre will be P dollars per kilogram or less in T years from the present. When will carbon fibre be available at $10k/g or less?
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Question 1060943: Suppose that an engineer determines that she can use the formula -t^2+14 less than or equal to P to estimate when the price of carbon fibre will be P dollars per kilogram or less in t years from the present. when will the carbon fibre be available at $10/kg or less?
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Question 1061000: 2y+8<-2
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Question 1061666: Hi, can you please help me solve this problem. Thank you so much!
A family plans to spend two 8-hr days at Disney World and will split time between the Magic Kingdom and Epcot Center. Let x represent the number of hours spent at the Magic Kingdom and let y represent the number of hours spent at Epcot Center.
a. Set up two inequalities that indicate that the number of hours spent at the Magic Kingdom and the number of hours spent at Epcot cannot be negative.
b. Set up an inequality that indicates that the combined number of hours spent at the two parks is at most 16 hr.
c. Graph the solution set to the system of inequalities.

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Question 1061826: -2 < x < 3
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Question 1061768: Hi, please help me solve this. Thank you!
Linear Programming Application
(1) An office manager needs to staff the office. She hires full-time employees at $18 per hour and part-time employees at $12 per hour. Write an objective function that represents the total cost (in $) to staff the office with x full-time employees and y part-time employees for 1 hr.

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(2) Refer to 1. Suppose that the office manager needs at least 20 employees, but not more than 24 full-time employees. Furthermore, to make the office run smoothly, the manager knows that the number of full-time employees must always be greater than or equal to the number of part-time employees. Write a system of inequalities that represents the constraints on the number of full-time employees x and the number of part-time employees y.

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Question 1061768: Hi, please help me solve this. Thank you!
Linear Programming Application
(1) An office manager needs to staff the office. She hires full-time employees at $18 per hour and part-time employees at $12 per hour. Write an objective function that represents the total cost (in $) to staff the office with x full-time employees and y part-time employees for 1 hr.

---

(2) Refer to 1. Suppose that the office manager needs at least 20 employees, but not more than 24 full-time employees. Furthermore, to make the office run smoothly, the manager knows that the number of full-time employees must always be greater than or equal to the number of part-time employees. Write a system of inequalities that represents the constraints on the number of full-time employees x and the number of part-time employees y.

Click here to see answer by ikleyn(52772) About Me 

Question 1062226: I don't know if this is the correct area. The question is as follows: A tutor earns 15 dollars an hour. She wants to make at least 200 dollars. Write an inequality and solve it showing steps. My answer is this inequality-15h >_ 200 the answe I got was 13.33 I don't know if I can have decimals in the answer. If not then my answer is 14. It can't be that simple right. I think I made a mistake. Please help
Click here to see answer by josgarithmetic(39615) 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