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

Tutors Answer Your Questions about Inequalities (FREE)

Question 1020384: How many integers satisfy the following equation? (x + 2) (x � 5) ≤ 0
Click here to see answer by robertb(5830)

Question 1020511: Please show solution for this question please. Thank you. The sum of two consecutive integers is at most 583. What are the possibolities for the first of the two integers?
Click here to see answer by Fombitz(32388)

Question 1020598: Could someone please help me solve a rational inequality using the critical point method? 1/x+2>x+2. I know how to use the critical point method, but I am not sure how to get the problem in the correct form first? I appreciate any help you can give me!
Click here to see answer by josgarithmetic(39613)

Question 1020567: Your "and" compound inequality is: -9<-1+4x<15
Click here to see answer by ikleyn(52754)

Question 1020569: your "or" compound inequality is: 8-x>15 or 6x-13>11
Click here to see answer by ikleyn(52754)

Question 1021022: what is one possible solution for y when
3y-9<12 and -4y+2<-22

Click here to see answer by stanbon(75887)

Question 1021445: Need to solve the following inequalities by hand. Please help me, thank you!
(x-7)(2x+1)<0
Click here to see answer by josgarithmetic(39613)

Question 1021254: Deluxe River Cruises operates a fleet of river vessels. The fleet has two types of vessels: A type-A vessel has 45 deluxe cabins and 155 standard cabins, whereas a type-B vessel has 80 deluxe cabins and 110 standard cabins. Under a charter agreement with Odyssey Travel Agency, Deluxe River Cruises is to provide Odyssey with a minimum of 455 deluxe and 905 standard cabins for their 15-day cruise in May. It costs $40,000 to operate a type-A vessel and $52,000 to operate a type-B vessel for that period. How many of each type of vessel (x type-A and y type-B) should be used in order to keep the operating costs to a minimum, C?
Click here to see answer by ankor@dixie-net.com(22740)

Question 1021636: Write an interval that represents the inequality. Then state whether the interval is bounded or unbounded.
-3<2x/3<_2

Click here to see answer by fractalier(6550)

Question 1021634: Write an inequality that represents the interval. Then state whether the interval is bounded or unbounded.
(-3,8]
Click here to see answer by fractalier(6550)

Question 1021652: Please show the workings to solve this inequality, many thanks.
(x-7)(2x+1)<0
Click here to see answer by Fombitz(32388)

Question 1021831: The number of registered nursed R(t) employed in the United States, in millions, t years after 2000 can be approximated by R(t) = 0.05t +2.2. Determine (using an inequality) those years for which more than 3 million registered nurses will be employed in the United States.

Click here to see answer by Fombitz(32388)

Question 1022020: Your friend Alex has won a scholarship to study abroad. Alex has only 8 weeks to earn enough money to buy a plane ticket, and he wants to work at an amusement park or a tech internship over the summer to achieve this goal. His plane ticket cost $2,200. The tech internship is part time 20 hr/wk with $11.50/hr, where as the amusement park is full-time 40hr/wk with $9/hr+$100 bonus when he starts. You want to find the income line that represents how much Alex makes, where
x = hours worked
y = money earned
what is the slope and y intercept (x,y) of both these work places. For each job, write an inequality that represents the number of hours Alex could work before the trip. also Write an inequality that represents the amount of money Alex needs to earn. PLEASE HELP IM SO LOST

Click here to see answer by Fombitz(32388)

Question 1022158: solve the inequality
3-x≤x-4≤2x-9
Click here to see answer by josgarithmetic(39613)

Question 1022158: solve the inequality
3-x≤x-4≤2x-9
Click here to see answer by MathTherapy(10549)

Question 1022223: A 150-pound person uses 6.1 calories per minute when walking at a speed of 4 mph. How long must a person walk at this speed to use at least 160 calories?
Click here to see answer by macston(5194)

Question 1022369: Evaluate: -4(-1/8+0.3
Click here to see answer by Alan3354(69443)

Question 1022369: Evaluate: -4(-1/8+0.3
Click here to see answer by fractalier(6550)

Question 1023304: Prove that 0,3 < S < 0,4
S= 1/(1*4) + 1/(4*7) + 1/(7*10) + ... + 1/(2014*2017)
Click here to see answer by robertb(5830)

Question 1024152: Six times Andres age is less than wills age will is 35 a is Andre's age write an expression for six times his age
Click here to see answer by fractalier(6550)

Question 1024177: (8+3)-2x3
Click here to see answer by stanbon(75887)

Question 1024274: a+b+c=1,1/a+1/b+1/c=?

Click here to see answer by FrankM(1040)

Question 1024691: The maximum speed on the highway is 55 mi/h
Click here to see answer by Alan3354(69443)

Question 1025317: Prove that:
(a1/a2 + a2/a3 + ... + an-1/an + an/a1)>= n
*a1 , a2 , ... , an-1 , an are not a*1 , a*2 , ... , a*n . They are parameters, or indexes (in the bottom right corner of the number)
Click here to see answer by richard1234(7193)

Question 1025399: Ranger saves $230 each week. He needs to save at least $10,000 to go on a trip to Europe. Write an inequality
My question is what would the inequality be?
Click here to see answer by Fombitz(32388)

Question 1025643: Which point is NOT a solution to the system of inequalities linked below?
http://postimg.org/image/vxduq5yo5/ - linked graph
A.) (1, -3)
B.) (2, 0)
C.) (-�4, 2)
D.) (0, 0)
Please and thank you!
Click here to see answer by Fombitz(32388)

Question 1025638: Whats the coordinates of the vertices formed by the system of inequalities?
X≤ 3
-x + 3y ≤ 12
4x + 3y ≥ 12
A.) (0, 3), (4, 0), (5, 3)
B.) (3, 0), (0, 4), (3, 5)
C.) (�-3, 3), (1, 3), (0, 4)
D.) (3, �-3), (3, 1), (4, 0)
Click here to see answer by Fombitz(32388)

Question 1025636: Whats the coordinates of the vertices formed by the system of inequalities?
x + y ≤ 9
y �- 2x ≥ -21
y ≥ -4x + 15
A.) (�6, �-9), (10, �-1), (2, 7)
B.) �(-9,- �6), (-�1, 10), (7, 2)
C.) (�-30, �-21), (�-6, -9), (6, 15)
D.) (�-6, �-9), (6, �-3), (-�12, �-21)
Click here to see answer by Fombitz(32388)

Question 1025925: At which point is the max value found in the system of inequalities linked below for the function f(x, y) = x - 2y?
http://postimg.org/image/y5vvyt9kd/ - graph
A.) (0, 3)
B.) (0, 0)
C.) (5, 0)
D.) (5, 3)
I think the answer is A.) (0,3) as its the highest point.
Click here to see answer by Fombitz(32388)

Question 1026075: The NCAA Men�s Division I Basketball Championship Tournament, often referred to as March Madness, officially began last week. In total, 68 teams were selected to enter the tournament. There were 8 teams that played in four play-in games, the winners advanced to the round of 64 teams. After the play-in games, the 64 teams compete in the single-elimination tournament until a National Champion is determined. At the end of this tournament, including the four play-in games, what is the total number of basketball games that will be played?
Click here to see answer by Boreal(15235)

Question 1026134: John needs to call a cab. A cab ride costs $4 per mile and an additional flat rate of $10 for each trip. John has a total of $100 in his pocket. write the inequiality representing this problem and solve it.
Click here to see answer by Alan3354(69443)

Question 1026234: Need help with this, thanks.
Solve the inequality: x^2 � 56 > x
Click here to see answer by josmiceli(19441)

Question 1026146: Please help with a System of Inequalities question
At what point is the max value found in the system of inequalities linked below for the function f(x, y) = 4x �- 3y?
Here is the graph: http://postimg.org/image/usfkf9eob/
Click here to see answer by Fombitz(32388)

Question 1026313: Solve the inequality -5≤ -2x+ 2/3≤ 4
Click here to see answer by Boreal(15235)

Question 1026365: Solve the inequality 30+15greater than or equal to 12+3c

Click here to see answer by rfer(16322)

Question 1026365: Solve the inequality 30+15greater than or equal to 12+3c

Click here to see answer by ikleyn(52754)

Question 1000752: Graph the inequality x + y < �4.
Click here to see answer by EdenWolf(517)

Question 1026566: 3(x � 1) < -3(2 � 2x)
A) x > 1
B) x < 1
C) x > -1
D) x < -1
Click here to see answer by rothauserc(4718)

Question 1026573: When solving this system of equations by elimination, which could be the resulting equation when a variable has been eliminated?
3x - 2y = 10
5x + y = 4
A) 13x = 18
B) -7x = 2
C) -7y = 62
D) 8x - y = 14
Click here to see answer by FrankM(1040)

Question 1026570: Write the quadratic function f(x) = x2 + 8x + 3 in vertex form
A) f(x) = (x - 4)2 - 13
B) f(x) = (x - 4)2 + 3
C) f(x) = (x + 4)2 + 3
D) f(x) = (x + 4)2 - 13
Click here to see answer by stanbon(75887)

Question 1026568: Which sequence matches the recursive formula? an = 2an-1 + 5, where a1 = 5
A) 5, 10, 15, 20, ...
B) 5, 15, 35, 75, ...
C) 5, 15, 25, 35, ...
D) 5, 20, 35, 50, ...
Click here to see answer by stanbon(75887)

Question 1026567: A new car depreciates at a rate of 15% per year. What is the expected value of a $25,000 car after 5 years (rounded to nearest whole dollar)?
A) $20750
B) $11093
C) $9429
D) $6250
Click here to see answer by stanbon(75887)

Question 1026703: The earth is made up of four primary layers: the inner core, outer core,mantle and crust.
The outer core is more than 800 miles and less than 2200 miles from the Earth�s center.
Which of the following inequalities represents all possible distances ,�d�, in miles, from the Earth�s center
that are in the outer core?

a) |d+800|<2200
b) |d-800|<2200
c) |d+1500|<700
d) |d-1500|<700
Click here to see answer by ikleyn(52754)

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