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

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Question 1093348: could you please help me with this equation in interval notation
(x-9)(x+3)(x+6)>(or equal) 0
I tried and got [9,infinity) but I don't know if I am supposed to use the sign diagram where it would be positive inbetween (-6,-3) U (9,infinity)
Click here to see answer by richwmiller(17219)

Question 1093149: A company invests a total of $50,000 of surplus funds at two annual rates of interest: 3% and 7 1/2%. It wishes an annual yield of no less than 6 1/4%. What is the least amount of money that the company must invest at the 7 1/2% rate?
Click here to see answer by richwmiller(17219)

Question 1093356: can you please help me solve the inequality in interval notion
(5-x)^3 (x^2+x+4) / (2x^2-8) (x^3-8) and all of that is a fraction which is < 0
I tried and received (-2,2) U (5,infinity) but am not confidant that my work is correct
Click here to see answer by greenestamps(13198)

Question 1093388: You are going to a concert in another town 48 miles away. you can average 40 miles per hour on the road you plan to take to the concert. what is the minimum number of hours before you should leave to get to the concert on time?

Click here to see answer by Alan3354(69443)

Question 1093482: could you please help me solve this equation in interval notation
x-1 > (or equal) 6/x
Click here to see answer by josgarithmetic(39616)

Question 1093582: Describe when to use interval notation "∞ " and "-∞"
Click here to see answer by Edwin McCravy(20054)

Question 1093481: could you please help me solve this equation in interval notation
(x^2-4) (x^2-5x+6) / (-x^2-x-2) (7x-7)^3 this is a fraction that is >(or equal) 0
I tried but my answer doesn't seem to make sense
Click here to see answer by greenestamps(13198)

Question 1093718: 2y+6>4 or -3y>=15
I know the answers are y>-1 or y<=-5 but I dont know the interval notation
Click here to see answer by Edwin McCravy(20054)

Question 1093771: could you please help me solve this equation
x-1 >(or equal) 6/x
I tried and received [-2,0) U [3,infinity) but I am not certain if that is correct
Click here to see answer by josgarithmetic(39616)

Question 1093770: could you please help me solve this equation
|x+1| >(or equal) 4

I tried using both the negative and positive way and I got x>(or equal) 5 and x<(or equal) -5 which gave methe interval (-infinity,-5] U [5,infinity)but that was not correct and I am not sure what I did wrong
Click here to see answer by josgarithmetic(39616)

Question 1093772: could you please help me with this equation
x+9/x >(or equal) 6
I mad a common denominator and as a result got (x-3)^2/x >(or equal) 0 and go the interval (-infinity,0) U [3,infinity) but that is wrong
Click here to see answer by greenestamps(13198)

Question 1093977: can you please help me with this equation
x+9/x >(or equal) 6
Click here to see answer by KMST(5328)

Question 1094006: What is the value of b+c if x^2+bx+c>0 only when x (-infinity, -2) U (3,infinity)?
Click here to see answer by ikleyn(52776)

Question 1094166: could you please help me solve this equation
|4x-3| <(and equal) 2x+9
Click here to see answer by Alan3354(69443)

Question 1094166: could you please help me solve this equation
|4x-3| <(and equal) 2x+9
Click here to see answer by josgarithmetic(39616)

Question 1094165: could you please help me solve this equation
|5x-2|<9
I tried but my answer was not correct
Click here to see answer by jim_thompson5910(35256)

Question 1094165: could you please help me solve this equation
|5x-2|<9
I tried but my answer was not correct
Click here to see answer by ikleyn(52776)

Question 1094165: could you please help me solve this equation
|5x-2|<9
I tried but my answer was not correct
Click here to see answer by greenestamps(13198)

Question 1094170: could you please help me solve this equation
|2-3x|<(or equal) 5
I seem to have trouble with absolute values
Click here to see answer by josgarithmetic(39616)

Question 1094170: could you please help me solve this equation
|2-3x|<(or equal) 5
I seem to have trouble with absolute values
Click here to see answer by ikleyn(52776)

Question 1094170: could you please help me solve this equation
|2-3x|<(or equal) 5
I seem to have trouble with absolute values
Click here to see answer by MathTherapy(10551)

Question 1094168: could you please help me solve this equation
x+ 9/x >(or equal) 6
(it is only the 9 that is on the x)
I tried and got [-3,0) U [3, infinity) but I am not confident in my answer
Click here to see answer by greenestamps(13198)

Question 1094245: 2x−1/x ≤−1 please help me solve
Click here to see answer by ikleyn(52776)

Question 1094539: The sum of two consecutive integers does not exceed 19. Find the range of values of the larger integer?
Click here to see answer by Edwin McCravy(20054)

Question 1094566: could you please help me evaluate this expression
log(base 3) (12) - log(base3) (28) + log(base3) (63)
I'm usually pretty good at these types of questions but my answer bing 4.5 was wrong
Click here to see answer by addingup(3677)

Question 1094579: Luke and Aisha are driving on the same road in the same direction. Luke is driving I don't rate of 50 mph, and Aisha is driving a rate of 55 mph. Right and solve an equation to find when are you sure will be ahead of Luke on the highway. X represent the number of time in hours.
Click here to see answer by ikleyn(52776)

Question 1094601: Today in Anchorage, the expected low temperature is -8F, and the expected hight temperature is 12F. Express this range as a compound inequality

Click here to see answer by ikleyn(52776)

Question 1094747: could you please help me evaluate this expression
log(base 10) (0.1)
Click here to see answer by josgarithmetic(39616)

Question 1094747: could you please help me evaluate this expression
log(base 10) (0.1)
Click here to see answer by ikleyn(52776)

Question 1094746: could you please help me express this as a single logarithm
I don't know how to approach the 1/5 and the exponent 5
1/5 ln(x + 2)^5 + 1/2 [ln(x) − ln(x^2 + 3x + 2)^2]
Click here to see answer by Alan3354(69443)

Question 1094780: (P - 2 ) 1
---------- = --------
(P - 1 ) ( P + 3)

Solve the equation.

Click here to see answer by ankor@dixie-net.com(22740)

Question 1094863: could you please helpmeet solve this equation for x
3ln(x) -2= 1-ln(x)
I tried but I go the wrong answer and I feel like I approach the 3 in front of the ln the wrong way when I insert e
Click here to see answer by ikleyn(52776)

Question 1094885: Trying to solve:
8>11-(3/8)x
Click here to see answer by Alan3354(69443)

Question 1095032: what are the steps to solving 4x+49<9-x
Click here to see answer by Boreal(15235)

Question 1095030: how do you break down 8+2xthen the greater than symbol with a line under it 6x-20 what are the steps to break that down

Click here to see answer by Alan3354(69443)

Question 1094938:
Click here to see answer by Alan3354(69443)

Question 1095077: x less than -1 its equivalent interval notation
Click here to see answer by ikleyn(52776)

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