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

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Question 958547: -4y+6<-14
Click here to see answer by stanbon(75887) About Me 

Question 958645: What are the Interval Notation of 2x/(x-4)-1 ≥-1

Click here to see answer by lwsshak3(11628) About Me 

Question 958734: 24x-10<46<34x-14
Click here to see answer by Fombitz(32388) About Me 

Question 958643: What are the Interval Notation of -45-21x+x^2+x^3 ≥0

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

Question 958832: write the following inquality in slope-intercept form
5x-5y≥70

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

Question 959528: 3(2x-8)=4(3x-4)?
Click here to see answer by satyareddy22(84) About Me 

Question 959527: I have a word problem that I am unable to solve and need help with a step by step solution. It is:
Three times a number is 15 less than twice the opposite of the number.
Thank you, Andrea

Click here to see answer by satyareddy22(84) About Me 

Question 959737: what is the smallest value of y that will make the inequality true?
72 is greater than or equal to 6y

Click here to see answer by jim_thompson5910(35256) About Me 

Question 960376: Here is another word problem that I can not solve. I am not understanding the solution.
*Seven times a number is 9 less than the product of the number and -20. What is the number?
Here is how I solved the problem but it is still wrong.
7N + 9 = N -20
-N -N
-----------
6N + 9 = -20
-9 -9
------------
6N = -29
29/6
N = -4 5/6

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

Question 960417: What is the solution to the compound inequality −4<(−3x+42)≤5?

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

Question 961488: How do I solve this?
Two sides of a triangle measure 3 inches and 7 inches. Between which two values must the third side be?

Click here to see answer by Edwin McCravy(20054) About Me 

Question 961565: If 4 is added to twice a number and this sum is multiplied by 6, the result is the same as the number multiplied by -10 and 2 is added to the product
Click here to see answer by stanbon(75887) About Me 

Question 961566: x-5y=17 for y
Click here to see answer by Fombitz(32388) About Me 

Question 961762: What is the solution set of the inequality?
x + 7 > 22

Click here to see answer by EdenWolf(517) About Me 

Question 961761: What is the solution set of the inequality?
x + 7 > 22

Click here to see answer by EdenWolf(517) About Me 

Question 962283: Find the range of values of x .A cyclist travels xkm in 4 hrs ,then ( x 60 )km in 7 hrs. Its average speed does not exceed 150km/h
Click here to see answer by MathLover1(20849) About Me 

Question 962605: 15-x<=6

Click here to see answer by hkwu(60) About Me 

Question 963212: Translate the sentence into an inequality.
The product of b and 7 is greater than or equal to −19.

Click here to see answer by rfer(16322) About Me 

Question 963866: I keep getting the wrong answer for some reason,

x+5/x-2less than equal to sign x+10/x+3

Click here to see answer by josmiceli(19441) About Me 

Question 964062: In a survey, 61% of the people asked said they would vote yes for the town budget. The margin of error is 2.5%. The inequality |n - 61| ≤ 2.5 can be used to find the range of votes likely to vote yes for the budget
Which shows the solution to this inequality?
A) 58.5 ≤ n ≤ 61
B) 58.5 ≤ n ≤ 63.5
C) 61 ≤ n ≤ 63.5
D) 2.5 ≤ n ≤ 63.5

Click here to see answer by LinnW(1048) About Me 

Question 964302: solve the inequality and write in interval notation : 3x-4(2x-1)>2(x+5)
Click here to see answer by lwsshak3(11628) About Me 

Question 946824: 1%2Fx%3E=2+
Click here to see answer by EdenWolf(517) About Me 

Question 944555: C minus 7 is less than or equal to -3

Click here to see answer by EdenWolf(517) About Me 

Question 964898: Find the range of values of x for which 2x²+7x-15>0
Click here to see answer by josgarithmetic(39613) About Me 
Question 964898: Find the range of values of x for which 2x²+7x-15>0
Click here to see answer by lwsshak3(11628) About Me 

Question 964897: Write an inequality to express this range: 14-25
Click here to see answer by Fombitz(32388) About Me 

Question 965316: Why does the inequality sign change or flip after dividing by a negative number
Click here to see answer by Fombitz(32388) About Me 
Question 965316: Why does the inequality sign change or flip after dividing by a negative number
Click here to see answer by josgarithmetic(39613) About Me 

Question 966068: What is the y-intercept of the graph of the equation 17x+2y=42?
Click here to see answer by jim_thompson5910(35256) About Me 

Question 966212: which of the following intervals represents the set (2,5)U[3,6]?
a.(1,6]
b.(4,6]
c.[2,4)
d.(2,6]

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

Question 966576: How do I write this inequality and solve?
Nine more than a number is less than five.

Click here to see answer by EdenWolf(517) About Me 
Question 966576: How do I write this inequality and solve?
Nine more than a number is less than five.

Click here to see answer by amarjeeth123(569) About Me 

Question 966694: p=c+b+4a for c
Click here to see answer by Fombitz(32388) About Me 

Question 966768: solve and graph the solution set 3x > -12.
Please help.
Thank you,
-Kirk

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

Question 966924: Calculate the range of values of x for which x^2=4x-5>5x-3
Can you tell me why must the graph be above the x axis?

Click here to see answer by josgarithmetic(39613) About Me 

Question 967194: Please help if the first number in the sequence is 17 & the second number is 3 what is the first number.
Click here to see answer by josmiceli(19441) About Me 

Question 967303: The latest online craze is a new game, Khan on Seven. You get 1100 points for playing the game. In addition, you get 50 points for each seven-letter word you are able to make with the ten letters you are given. The game leader currently has 17,950 points. Sal wants to break the record, and needs 18,000 points or more to do so.
Write an inequality to determine how many seven-letter words, w, Sal will need to make to break the record.

Click here to see answer by stanbon(75887) About Me 

Question 968367: Find the solution to the polynomial inequality x^3+5x^2-4x-20>0
thanks:)

Click here to see answer by josgarithmetic(39613) About Me 
Question 968367: Find the solution to the polynomial inequality x^3+5x^2-4x-20>0
thanks:)

Click here to see answer by lwsshak3(11628) About Me 

Question 968665: Daniel wants to order shirts. Shirts cost $20 and shipping on all orders is $10.99. Daniel has $50 to spend. How many shirts can be ordered without exceeding his limit.
My answers so far:
variable for the unknown =s (shirts)
unknown amt to be multiplied by variable = shirts to be ordered
add or subtract constant amount = (NEED HELP)
fixed or constant amt? (NEED HELP)
Inequality symbol = (NEED HELP)
greatest or least total pissible = (NEED HELP)
write & solve inequality: 20s + 10.99 \< 50
20s \< 39.01
s\< 1.95

Click here to see answer by josgarithmetic(39613) About Me 

Question 969305: solve this inequality, (x + 3)(x -4) < 7, and explain why it is incorrect
Click here to see answer by solver91311(24713) About Me 

Question 969471: Solve the inequality _5<2×+3<1
Click here to see answer by lwsshak3(11628) About Me 
Question 969471: Solve the inequality _5<2×+3<1
Click here to see answer by Boreal(15235) About Me 

Question 969498: Graph the inequality 4x + y ≤ 5
Click here to see answer by Boreal(15235) About Me 

Question 969632: 4x+1<2x+5<=3x+6
Solve in terms of intervals and illustrate the solution set.
Can someone explain this, and number each and every step

Click here to see answer by josgarithmetic(39613) 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