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

Tutors Answer Your Questions about Inequalities (FREE)

Question 502725: -2(x+4)>6x-4
Click here to see answer by persian52(158)

Question 502762: what is the inequality of -9<2z+7<10
Click here to see answer by jim_thompson5910(28598)

Question 502728: how do you add a fraction with a negative number?
-1/3x=-6
Click here to see answer by ankor@dixie-net.com(15660)

Question 461327: Can someone help me solve and graph the compound inequality?
7x + 4 ≥ - 31 or 9x + 4 ≥ - 23?

Click here to see answer by robnrose(2)

Question 503149: 2x+9≥5 and 2x-13≥-9 how would I write the solution {x|x-,2}
} I know x=-2 and x=2 help
Click here to see answer by robnrose(2)

Question 503938: Which of the following is not a way to represent the solution of the inequality 2(x + 1) > or = to 20?
x >/= to 9
9 A number line with a closed circle on 9 and shading to the left.
A number line with a closed circle on 9 and shading to the right.
QUESTION 2:
Please help solve:inequality -6x - 10 > 14 + 2x.

Click here to see answer by nic0le116(25)

Question 504366: I have an absolute value question....
5(5x+7)+2<=21...the parenthesis are the absolute value symbols....ive tried every step at different points in the equation, and i always end up with the wrong answer....(-56/25,-26/25) i thought for sure was it but i was wrong....ive spent the last hour on this one. I know set the left side to -21 and commence the solving, isolate the absolue value and divide by 5 but every time i try, my math comes up short.
Click here to see answer by stanbon(57384)

Question 504360: 1/(1-8x)= 5
the parenthesis are not supposed to be parenthesis, they are supposed to be absolute value signs
I know i have to isolate the absolute value but im confused as exactally which method to use in order to do that.....not sure if i should switch to a neg. or multiply by 1/5 im bogged....and having extreme brain farts. SEMPER!!
Click here to see answer by ankor@dixie-net.com(15660)

Question 505607: a number decreased by 24 is 93
Click here to see answer by jim_thompson5910(28598)

Question 505848: Please, help me solving it...
Use interval notation to write the domain of f:
f(x)= x-1\3x + 6
Click here to see answer by Theo(3464)

Question 505983: when graphing inequalities how do you know if you have to shade in the circle or not?
Click here to see answer by stanbon(57384)

Question 506646: How to solve a compound inequality and graph the solutions?
EX: -6 < 2x - 4 < 12
Click here to see answer by jennywecas(28)

Question 506860: 13>-6+23+x
Click here to see answer by jim_thompson5910(28598)

Question 507666: 8c+4>4(c-3)
Click here to see answer by jim_thompson5910(28598)

Question 507811: A baker needs between 40lb and 50lb of flour-sugar mixture that contains ten times as much flour as sugar. What are the possible weights of flour the baker can use?
Click here to see answer by josmiceli(9697)

Question 507879: x-9>=-7(x+2) write solutions using set builder notation. show work
Click here to see answer by jim_thompson5910(28598)

Question 505853: solve using multiplication principle -2x<-8
Click here to see answer by jim_thompson5910(28598)

Question 507923: Solve -6(x+5)<-x+11. write solution using set builder notation.
Click here to see answer by jim_thompson5910(28598)

Question 508321: I have a 30 word problem project due tomorrow. I've attempted doing the problem many times in different ways and neither of them give me the answer 100.
The problem is:
The length of a rectangular sheet of paper was twice its width. After 1 cm was trimmed from each edge of the sheet, the perimeter was at most 1 m. Find the largest possible dimensions of the trimmed sheet.
I've drawn this equation:
100 > 2(2w - 1) + 2(w - 1)
When I solved, I got w > 16
When i plug it into "l" I get 31.
my problem is that i 31 + 31 + 16 + 16 =/= 100
Please help ASAP!
Click here to see answer by mananth(12270)

Question 508416: Sometimes one is only given the slope and a point not on the y-axis and asked to find the equation of the line going through those two points. One of two very nice methods for doing this is to use the Point-Slope Formula (given below). Given the slope of 3 and the point (1, 5), use the point slope formula, to write the equation for this line.
y-y1(1 should be lower)= m(x-x1(1 should be lower...
m is the slope and (x1(1 should be lower),y1(1 should be lower) is the point)
(when i say the 1 should be lower it should be like like y^1 but its on the bottom rightnot top)
Click here to see answer by stanbon(57384)

Question 508691: how do you write this in number form? and solve.
Nine more than a number (b) is greater than negative 3.
Click here to see answer by jerryguo41(162)

Question 508899: albert earns $3.50 for each hour he works. If he wants to earn at least $52.50, how many hours must he work?
Click here to see answer by rfer(12666)

Question 508962: Inequality solving:
1. 4x - 16 < 34
2. 3x - 4 < 11
3. 8x – 6 < -46
Thanks!

Click here to see answer by Earlsdon(6287)

Question 509198: Aman decides to eat breakfast at Burger King. He is a big fan of their French toast sticks and he likes orange juice. He wants to eat no more than 500 calories and consume no more than 450 mg of sodium. Each French toast stick (with syrup) has100 calories and 100 mg of sodium. Each small orange juice has 150calories and 50 mg of sodium. The number of French toast sticks and the number of small orange juices ordered must both be greater than or equal to zero.
a.)Define your variables, x and y.
100x+150y<500
100x+50y<450
b.)Set up a system of inequalities
I think there are four of them but not sure if I have the first set up to do the rest
c.) solve your system of inequalities graphically.

Click here to see answer by solver91311(16897)

Question 509228: add or subtract as indicated and write the result in standard form.
(7+2i) + (1-4i)
Click here to see answer by MathLover1(6638)

Question 509284: (16/25) raise to power 1.5
Click here to see answer by stanbon(57384)

Question 509492: Define a variable and write an inequality. Then solve the resulting inequality. The Braves play 162 games in a season. So far, they have won 56 and lost 40. To win at least 60% of all games, how many more games must they win?
Click here to see answer by solver91311(16897)

Question 509722: Inequalities solving:
1. x + 2 > 8
2. 7- 4x < 8
3. 10x - 9 > -2x - 3
Thanks!
Click here to see answer by edjones(7569)

Question 509857: if you add two-thirds of a number to the number itself, you get 70. what is the number?
Click here to see answer by stanbon(57384)

Question 510241: Hi, I'm having huge trouble with an inequality problem. Here's the problem.29x-515<-14(8-3x)
Click here to see answer by mananth(12270)

Question 510898: I am having trouble with a homework problem and cannot figure it out. Could someone please help me to understand?? Thanks so much in advance.
4m over 5 < -3 over 15.
Click here to see answer by rfer(12666)

Question 510846: 28=3m-7m
Click here to see answer by rfer(12666)

Question 510939: Solve and write the solution in set builder notation:
(3)/(x-1)+(4)/(x)is greater than or equal to(5)/(x-1)

Should the undefined values be included in answer?
Click here to see answer by stanbon(57384)

Question 511186: what is this question. 7w is greater than or equal to -51??
Click here to see answer by rfer(12666)

Question 511313: the depreciation for the corporate airplane from 2006
to 2009. The plane was purchased new in 2006; therefore, x = 0 represents the year 2006.

X � axis (horizontal) = years starting from 0 = 2006 and increasing by 0.5 years
Y � axis (vertical) = price in $ amounts from 24,000 to 240,000
List the coordinates of two points on the graph in (x, y) form.
(2.0, 216000),(3.0,204000)
b) Find the slope (rate of depreciation) of this line:
c) Find the linear equation of this line in slope-intercept form.
d) If the rate of depreciation continues at the present rate, what will be the plane’s
value in the year 2017? Show how to use the linear equation from part c) to
obtain your answer.
e) If the trend continued, in how many years would the plane’s value be $48000?
Show how to use the linear equation from part c) to obtain your answer.

Click here to see answer by stanbon(57384)

Question 511420: what is the ordered pair if 5x+4y=16
Click here to see answer by oberobic(2304)

Question 511650: Inequality solving:
28x+4<9
Click here to see answer by bucky(2189)

Question 511929: What is x to the 4th power divided by (x-1)to the 3rd power
Click here to see answer by jim_thompson5910(28598)

Question 511904: The golf course you play at charges $22 per round of golf. You can either rent golf clubs at the course for $8 or you can buy your own set of clubs for $160. Write and solve an inequality to find the number of rounds of golf you need to play in order for the cost of purchasing clubs to be less than the cost of renting clubs. Let r(variable) represent the number of rounds of golf.
Please help me with this word problem and thank you for your consideration in this matter.
Click here to see answer by Earlsdon(6287)

Question 512030: a student must have at least 450 points to earn an A
Click here to see answer by jim_thompson5910(28598)

Question 512048: If x:6 as 3:9, then x is equal to
Click here to see answer by oberobic(2304)

Question 512048: If x:6 as 3:9, then x is equal to
Click here to see answer by stanbon(57384)

Question 512316: Hi.
I'm having a hard time remembering what I'm supposed to do for this problem: 3 | y + 5 | - 2 = 7
If you can help, thank you!

Sierra
Click here to see answer by ankor@dixie-net.com(15660)

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