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

Tutors Answer Your Questions about Inequalities (FREE)

Question 969636: Im trying to find the quadratic inequality of 3x^2 + 9x <= 4
Can somebody please explain step by step how to find the answer. The two things I seem to be confused by the most is the "3x^2" part because I'm used to problems that start with just "x^2" and the "<=". Any help would be highly appreciated.
Click here to see answer by josgarithmetic(39615)

Question 970075: Solve for x. (1/3) lne^(3x)- 3e^(lnx)=12. There is no solution but I don't know how to prove that. Please help. Thank you.
Click here to see answer by Alan3354(69443)

Question 970075: Solve for x. (1/3) lne^(3x)- 3e^(lnx)=12. There is no solution but I don't know how to prove that. Please help. Thank you.
Click here to see answer by Boreal(15235)

Question 970061: I need help with this inequality 6/(x-3)< 3/(x+1). Please show all work. Thank you.
Click here to see answer by josgarithmetic(39615)

Question 970220: 1/2x+3/5=x
Click here to see answer by Alan3354(69443)

Question 970290: Define the line of semetry vertex domain and range for y= - x2+3
Click here to see answer by stanbon(75887)

Question 970439: 0.8(3x+6)>=1.1-(x+2)
Click here to see answer by Boreal(15235)

Question 970475: Renna pushed the button for the elevator to go up, but it would not move. The weight limit for the elevator is 450 kilograms, but the current group of passengers weighs a total of 750 kilograms. Renna wants to determine how many 70-kilogram passengers need to get off the elevator.
Let p represent the number of excess passengers. Write an inequality to determine the number of passengers who need to get off the elevator to meet the weight requirement.
What is the minimum whole number of passengers who need to get off the elevator to meet the weight requirement?
Click here to see answer by Boreal(15235)

Question 970579: -6<1/5x+3
Click here to see answer by Fombitz(32388)

Question 970672: what is the slope intercept inequality of the line with the points of (0,-1) (6,3)? it has a straight line and shaded on bottom
Click here to see answer by stanbon(75887)

Question 970672: what is the slope intercept inequality of the line with the points of (0,-1) (6,3)? it has a straight line and shaded on bottom
Click here to see answer by josgarithmetic(39615)

Question 971185: if f(x)=x^2-7x-4, then the value of f(2x+1)is
a. 3x^2-18x+3
b. 4x^2+18x-3
c. 4x^2-10x-10
d. x^2+7x-3
Click here to see answer by reviewermath(1029)

Question 971211:
Click here to see answer by anand429(138)

Question 971212: Q. If ; b= and , then real no. r satisfies the inequality ______ .
Options:
a)
b)
c)
d)
Please give the solution process. The expression is directly given in r. I am unable to write the question in one go, so I used variables 'a' and 'b' for numerator and denominator.
PS: I have tried rationalizing and got upto
Click here to see answer by rothauserc(4718)

Question 971294: The median of a set of 6 numbers is 47. The numbers are: 13, 43, 34, 52, 64, and q. Find the value of q.
Thank you,
Ryan
Grade 6
Click here to see answer by ankor@dixie-net.com(22740)

Question 971294: The median of a set of 6 numbers is 47. The numbers are: 13, 43, 34, 52, 64, and q. Find the value of q.
Thank you,
Ryan
Grade 6
Click here to see answer by MathTherapy(10549)

Question 971539: x^2-6x+2=0
Click here to see answer by Boreal(15235)

Question 971500: A number plus six

Click here to see answer by checkley77(12844)

Question 971537: What is the answer to -3b-2>1
Click here to see answer by jim_thompson5910(35256)

Question 971759: use the given matrix to perform the operation R1+2R2 and select the correct option.
3, -2, 1
1, -3, 4
1, -2, 0
a. 3, -2, 1
5, -8, 9
1, -2, 0
b. 3, -2, 1
2, -6, 8
13, -2, 0
c. 3, -2, 0
1, -3, 4
1/5, -2, 0
d. 5, -8, 9
1, -3, 4
1, -2, 0

Click here to see answer by stanbon(75887)

Question 971774: Find an antiderivative for 3 x ( 3 x^2−2 x+7 )

Click here to see answer by Boreal(15235)

Question 971773: If f ′(x) = 3 x−13 and f(−12) = 10, find f(x).

Click here to see answer by anand429(138)

Question 971698: a score of at least 92 on the test is considered an A
Click here to see answer by Alan3354(69443)

Question 971772: Find an antiderivative for −7 ( −6 x−5 )^(1/8)

Click here to see answer by Edwin McCravy(20054)

Question 971771: Find an antiderivative for −5 ( −4 x^2−1 )^2

Click here to see answer by Edwin McCravy(20054)

Question 819151:

Click here to see answer by Kunda(1)

Question 972280: -6<2x-8/3<0

Click here to see answer by Boreal(15235)

Question 972477: If x is less than or equal to 7, then the absolute value of the expression x-7 = ?
The answer is -x+7. I solved it by removing the absolute value bars, which gave me x-7, and -(x-7) = -x+7.
But, I don't understand what this means. Can anyone explain this to me? What does it mean and why?
Thank you for any help anyone can give.
Click here to see answer by josgarithmetic(39615)

Question 972762: given that cos 0 =12/13 what is the value of tan 0?
a. 13/12
b. 5/12
c. 12/5
d. 13/5
Click here to see answer by josgarithmetic(39615)

Question 972757: What is the solution set of {x | x < 2} {x | x ≥ 2}?
Click here to see answer by josgarithmetic(39615)

Question 972750: if f(x)=3x^2-x-7, then the value of f(-x)is
a. 3x^2+x-7
b. -3x^2+x-7
c. -3x^2-x-7
d. -3x^2-x+7
Click here to see answer by MathLover1(20849)

Question 972764: the exact value of the expression 3+sin^2 70 + sin ^2 20 is
a. 0
b. 1
c. 4
d. 3
Click here to see answer by Alan3354(69443)

Question 972800: Please Solve the inequality 7x-9>=x+3
where 7x-9 is an absolute value and in bars and it is greater then equals to x+3
Click here to see answer by josgarithmetic(39615)

Question 972800: Please Solve the inequality 7x-9>=x+3
where 7x-9 is an absolute value and in bars and it is greater then equals to x+3
Click here to see answer by MathTherapy(10549)

Question 972766: if f(0)=2sin 0 + cos 3 0, the value of f (pi/3) is

Click here to see answer by lwsshak3(11628)

Question 972749: if f(x)=2x^2-(1/x)-2, then the value of f(1/x)is
a. 1/2x^2-1/x-2
b. 2x^2-1/x-2
c. 2/x^2-x-2
d. 1/2x^2-x-2
Click here to see answer by Theo(13342)

Question 973468: I have been stuck on this problem for my homework and would appreciate any help.
"Solve the compound inequality, graph the solution set: x+5>10 and 2x-5>-17
thank you so much
Click here to see answer by Alan3354(69443)

Question 973497: -2x<-20
Click here to see answer by EdenWolf(517)

Question 973756: What is the answer to this, please?
8<2n≤16
Click here to see answer by rothauserc(4718)

Question 973874: pls help me solve the inequality x+2y>10
Click here to see answer by Alan3354(69443)

Question 973932: Solve the following inequality and write the solution in the form of intervals.
|3x/5-1|>2/5
Click here to see answer by lwsshak3(11628)

Question 974108: What is the relationship
between the line you found in
part a) and the line you found in
part b)?

A.)y=(-2/3)x
B.)y=3/2x-13/2
Click here to see answer by stanbon(75887)

Question 974110: Solve each inequality, graph each
solution, and give interval notation
a.) (a+4)-3(a+1)>-2(1-a)-5

b.) -2n-4<2n+6 and (n/4)-1<-3/2
Click here to see answer by stanbon(75887)

Question 974117: This is such a long question, and it's worth 10 points. I feel like I'm headed in the wrong direction, please help.
The average cost of a new car has
been changing approximately
linearly with time. In 1990, the
average cost was $16,950, and the
average cost was $27,957 in 2008.
a) Let x = the number of years after
1990 and let y = average cost of
a new car. What ordered pairs
can be written to express this
information?

b) Write the equation of the line
through these two points in
point-slope form.

c) Convert the equation of the line
to slope-intercept form and
explain in your own words what
the slope means in the context
of this problem.

d) Based on this linear model, what
will be the average cost of a new
car in 2018?

Click here to see answer by rothauserc(4718)

Question 974365: Please help Convert. Angles to radians: 270�
Click here to see answer by Fombitz(32388)

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