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

Tutors Answer Your Questions about Inequalities (FREE)

Question 380964: find an equation of the line containing the given pair of points
(-7, -6) and (-4, -8)
the equation of the line in slope-intercept form is y=?
Click here to see answer by ewatrrr(24785)

Question 381045: How do you solve inequalities
Click here to see answer by Jk22(389)

Question 381213: Would greatly appreciate help! I need to graph the following system of linear equations:
2x-5y_<10
3x-2y<6
Please note that the underscore denotes =, so it is "less than or equal to" the given number.

Here is what I have so far:
I have set each equation with an equal sign and worked out my x-intercept and y-intercept coordinates like this:
LINE 1
2x-5y=10
2x-5*0=10
2x=10
10/2
x=5
sooo...x coordinates are (5,0)
Now for y...
2*0-5y=10
-5y=10
10/-5
y=-2
sooo... y coordinates are (0,-2)
That takes care of the line for the first equation. Now for the second line denoted by the second equation:
3x-2y=6
To get x-intercept:
3x-2*0=6
3x=6
6/3
x=2
sooo... x coordinates are (2,0)
Now for y...
3*0-2y=6
-2y=6
6/-2
y=-3
sooo.. y coordinates are (0,-3)
In the original system of equations, line 1 should be a solid line because it is included in the equation, and line 2 would be a dashed line because it is NOT included in the equation.
When I plotted these coordinates on my graph, it differed from the answer in the textbook. The book shows an open dot at (0,0.5) with a dashed line and a solid line radiating in positive directions from the open dot-not like my answer at all! Could someone please set me straight?! Thank you!!

Click here to see answer by jim_thompson5910(35256)

Question 381314: -4|8-5n|=13
Click here to see answer by richard1234(7193)

Question 381376: -8>5-v
Click here to see answer by mananth(16946)

Question 381733: 2+3x<(1/2)x
How do you solve for the problem above
Click here to see answer by stanbon(75887)

Question 381910: i need help with these type of problems: 0 < x + 3 < 6

Click here to see answer by stanbon(75887)

Question 381936: 2. The slope and y-intercept of the line f(x) = -1/4x are m is undefined and b = 0.
True or false?
Click here to see answer by stanbon(75887)

Question 382028: If s>t then is the inequality s�15>t�15 true?
Click here to see answer by Fombitz(32388)

Question 382193: how can you make this more easier
Click here to see answer by stanbon(75887)

Question 382650: Company A charges $25 per month plus $0.22 per minute for cell phone service. Company B charges $35 per month plus $0.12 per minute. How many minutes of usage is needed in one month to make Company B a better deal?
Click here to see answer by rfer(16322)

Question 382995: -3x < 24 i tryd four different ways to find out the answer and still cant seem to get it right.
Click here to see answer by stanbon(75887)

Question 383052: Please help me sove this equation -w+42=231
Click here to see answer by stanbon(75887)

Question 383238: A regular train travels at 60mph while a highspeed train travels at 90mph. It takes the regular train 2.5 hours longer to get to the next stop than the highspeed train. How long does it take for both trains to arrive at the next stop.
Click here to see answer by ankor@dixie-net.com(22740)

Question 383493: PLEASE HELP!
I have solved this one but something looks wrong.
Determine whether these numbers are solutions of the inequality :
x-1 (greater then or equal to) 7; -5,1,4,20
I substituted -5,1,4,20 for x in the inequality and solved accordingly.
I found there was NO solution for any of the numbers. Am I wrong and thank you.
Click here to see answer by Theo(13342)

Question 383411: Twenty less than a number is at least 15.
Click here to see answer by Fombitz(32388)

Question 383401: Solve the inequality. Give solution sets in interval notation.
(5-x)/(x+2)>0
Click here to see answer by Fombitz(32388)

Question 383777: Negative four times the difference of six and a number is at least seven times the number. Evaluate this problem for values of the number.
Click here to see answer by rfer(16322)

Question 384008: h-12<12
Click here to see answer by rfer(16322)

Question 384413: Find the greatest possible pair of integers such that one integer is twice the other and their sum is less than or equal to 30.
Click here to see answer by ewatrrr(24785)

Question 384412: Find the greatest possible pair of integers such that one integer is twice the other and their sum is less than 30.
Click here to see answer by ewatrrr(24785)

Question 384414: The length of a rectangle is four times the width. If three times the width is subtracted from the length, the result is at least 15. Find the smallest possible values for the (a) width of the rectangle and (b) length of the rectangle.
Click here to see answer by ewatrrr(24785)

Question 384715: Find the greatest possible pair of integers such that one integer is twice the other and their sum is less than or equal to 12.
Click here to see answer by Theo(13342)

Question 384892: write an inequality that exceeds 79
Click here to see answer by rfer(16322)

Question 384925: how do you solve 6n + 5 is greater than or equal to 71, n is greater than or equal to 11. please show me step by step.
Click here to see answer by ewatrrr(24785)

Question 384977: solve - x/4 < 7

Click here to see answer by rfer(16322)

Question 385151: Solve the inequality.
n-(-3/4)>(1/2)

Click here to see answer by rfer(16322)

Question 385151: Solve the inequality.
n-(-3/4)>(1/2)

Click here to see answer by stanbon(75887)

Question 385201: -2+r/9>-1
Click here to see answer by armstrkl(28)

Question 385483: can you help me in algebra one inequalities
Click here to see answer by edjones(8007)

Question 385724: I need the answer and the way you worked out 10+5k>-5. Please.
Click here to see answer by armstrkl(28)

Question 385819: 6. Write an inequality to describe all the points on the coordinate plane above y = -4.

A.
y < 4

B.
y > -4

C.
y > 4

D.
y < -4

Click here to see answer by stanbon(75887)

Question 386374: what is the first step to solve the problem 4n-3>2n
Click here to see answer by rfer(16322)

Question 386096: 17h-47+6h=160 2 step equations Please show work very confused

Click here to see answer by richard1234(7193)

Question 386433: 1) Trisha makes $12.50 an hour at her office job. However, if she works over 40 hours per week, she gets paid time-and-a-half for each hour of overtime (in other words, 1.5 times her regular hourly rate). To be able to pay her bills, Trisha needs to make at least $650 per week in overtime pay. How many overtime hours must she put in each week?
Click here to see answer by mananth(16946)

Question 386515: I would like to know if this expression is true or false
4x-7>2x+5 x=-2

Click here to see answer by Alan3354(69443)

Question 386567: Graph the inequality:
y<7x-7
It is actually greater than or equal to but I don't know how to write that on the computer.
Click here to see answer by ewatrrr(24785)

Question 386649: Hi, I had a few questions about one of my algebra problems. Im so sorry if i didn't choose the right toppic!
3 over 5 x - 2 over 3 = 3
Click here to see answer by Fombitz(32388)

Question 386159: hi, i need help understanding solving inequalities, like i literaly have no clue what i am doing like 5(x-10)>6(x-1) i am homeschooled and these book are just not helping me get the point on how to do it. i have gotten down to
5x-10>6x-1, now i am stumped.
Click here to see answer by gwendolyn(128)

Question 387000: �x + 3 > 7.
please help me work this out :)
Click here to see answer by stanbon(75887)

Question 387000: �x + 3 > 7.
please help me work this out :)
Click here to see answer by tara0066(31)

Question 387041: h(x)=2-xsquared find h(4)
Click here to see answer by richard1234(7193)

Question 387041: h(x)=2-xsquared find h(4)
Click here to see answer by ewatrrr(24785)

Question 387072: 9 = 6 + |s-3|
Click here to see answer by edjones(8007)

Question 387072: 9 = 6 + |s-3|
Click here to see answer by Edwin McCravy(20054)

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