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

Tutors Answer Your Questions about Inequalities (FREE)

Question 77020: The cost for a long-distance telephone call is $0.36 for the
first minute and $0.21 for each additional minute or portion thereof. Write an
inequality representing the number of minutes a person could talk without
exceeding $3.
Click here to see answer by josmiceli(9698)

Question 77018: 2 times a number, increased by 28, is less than or equal to 6 times that number.
Click here to see answer by bucky(2189)

Question 77017: 7(x – 3) > 5x - 14
Click here to see answer by bucky(2189)

Question 77063: Hi,
I have no idea how to do this classwork problem. COuld you help? Thanks!

Solve for x. Collect xs on the LEFT side. The solution should be presented with x first, the correct inequality symbol, then the number.
x + 4 – 8x – 1 > 3(x – 2)

Click here to see answer by bucky(2189)

Question 77016: 3x > 2x - 4
Click here to see answer by tutorcecilia(2152)

Question 77252: Write the inequality in words. x > 2.

Click here to see answer by tutorcecilia(2152)

Question 77252: Write the inequality in words. x > 2.

Click here to see answer by jim_thompson5910(28598)

Question 77173: A long-distance phone call costs $1.11 for the first minute and $0.97 for each additoinal minute or portion thereof. Write an inequality representing the number of minutes a person could talk with out exceeding $6.
$1.11 first minute / 4.85 additional minute
Confuse on how to write an inequality...thanks.

Click here to see answer by ptaylor(2048)

Question 77595: Please help explain graphing inequalities! Thanks!
I understand how to find out how to place the "line" what is stumping me is how to figure out which side of the line to shade! My equation is and I figured out where to place the "line" on the graph, I am confused on how to figure out which side of the line (top or bottom) to shade.
Thank You!
Josh
Click here to see answer by stanbon(57424)

Question 77832: TRAVEL To get to the beach for vacation,Cheng's family must drive at least 660 miles on the first day. They are traveling at a constant speed of 60 miles per hour.
a.Write an inequality to represent how long the family should drive on the first day.
b. How many hours should the family drive?
Click here to see answer by uma(370)

Question 77974: -4>d-8
Can you help me break this down so I can understand it? I have a test tomorrow and my mind is blank. I think I go like this:
-4 -4 > d-8
then I'd have
0 > d-4
then
0x-4 < dx4 ..is this correct so far? Is that all? i think I'm supposed to draw a graph with this also.
Thanks,
Adam
Click here to see answer by jim_thompson5910(28598)

Question 77997: #2: Solve each absolute value inequality using interval testing. Graph the solution on a number line
and write the solution using set-builder notation form or interval notation form.
a. The absolute value of 4k-20 is greater than or equal to 0.
Click here to see answer by stanbon(57424)

Question 78080: solve the folowing inequation
x+3/x-2 less than equal to 2
i have solved this in the following way
x+3/ x-2 - 2 less than equal to 0
-x+7 / x-2 less than equal to 0
x-7/ x-2 greater than equal to 0
x belongs to (- infinity, 2 ) union [ 7, infinity)
SIR I CANNOT UNDERSTAND THIS FORM
x belongs to (- infinity, 2 ) union [ 7, infinity)

Click here to see answer by stanbon(57424)

Question 78184: is this statement true or false and explain why
0>-3
Click here to see answer by jim_thompson5910(28598)

Question 78185: graph the inequality
y<-1
Click here to see answer by jim_thompson5910(28598)

Question 78187: graph the inequality
y+x>3
Click here to see answer by jim_thompson5910(28598)

Question 78550: I keep trying on this problem and I'm running out of time and sanity. Please for the love of God, help me. x5+24>3x3+8x2. I can't even figure out how to write it on the computer. That should be x to the power of 5, plus 24 > 3x to the power of 3 plus 8x squared. I understand that you need to bring everything over to equal 0. I have found one factor of it too, (x-2) but can't completely solve. Thanks so much!
Click here to see answer by jim_thompson5910(28598)

Question 78582: Find the three smallest consecutive odd integers such that their sum is at least 40. (Let x = the first odd integer)
I've tried x+x+2+x+4 is greater than or equal to 40
3x + 6 is greater than or equal to 40
3x is greater than or equal to 34
x is greater than or equal to 11.33333
Click here to see answer by checkley75(3666)

Question 78640: The square root of (6-x) + The square root of (5x + 6) = 6
Click here to see answer by stanbon(57424)

Question 78691: 7(x-3)>5x-14
Click here to see answer by Septimus314(7)

Question 78701: An Arithmatic student needs an average of 70 or more to receive credit for the course. She scored 82, 64, and 98 on the first three exams. Write an inequality representing the score she must get on the last test to receive credit for the source.
Click here to see answer by checkley75(3666)

Question 78793: 9 less than a-5
Click here to see answer by mathdoc314(58)

Question 78792:
Click here to see answer by mathdoc314(58)

Question 79131: The base of an isosceles triangle is 9 inches less than the length of the equal sides. If the perimeter of the triangle is 39 inches. Find the length of each side.
Click here to see answer by checkley75(3666)

Question 79133: a long distance phone call costs $0.25 for the first minute and $0.10 for each additional minute or portion thereof. Write an inequality representing the number of minutes a person could talk without exceeding $5.

Grph the solution set of x>5.
Click here to see answer by ptaylor(2048)

Question 79217: Solve and graph the solution set. 3(x-4)>7x-9. I do not know to solve this problem at all. Your help will be greatly appreciated thank you so much and God bless you to continue helping all of us.
Click here to see answer by mathdoc315(6)

Question 79190: Graph the solution set of x>5. Please help me with this one. when it ssy graph do that mean I need to draw the line
Click here to see answer by stanbon(57424)

Question 79223: Sorry I need help with just one more that has me very confused the problem says
Solve for b, and then it has a=1/2bc2 the last 2 is a power 2
Click here to see answer by ankor@dixie-net.com(15667)

Question 79218: Solve and graph the solution set. 3(x-4)>7x-9. I do not know to solve this problem at all. Your help will be greatly appreciated thank you so much and God bless you to continue helping all of us.
Click here to see answer by sprolden(40)

Question 79191: solve 2/5x -6=12
Click here to see answer by bubblz190(11)

Question 79793: Number problem: You have at least $30 in change in your drawer, consisting of dimes and quarters. Write an inequality that shows the different number of coins in your drawer.
Click here to see answer by checkley75(3666)

Question 79194: solve 2/5x -6=12
Click here to see answer by sofiyacherni(99)

Question 80055: Please help me solve
Click here to see answer by bucky(2189)

Question 80014: Solve the inequality, then graph the solution.
-3n-5>-4n-7
Click here to see answer by sprolden(40)

Question 80177: If sin theta=3/4 and theta is an acute angle, what is the value of (tan theta)(cos theta)
Click here to see answer by stanbon(57424)

Question 80178: write each expression as a constant csc x/sec x
Click here to see answer by stanbon(57424)

Question 80307: My question is off a worksheet that if called Solving problems involving inequalities. It is "Find the largest pair of consectutive integers whos sum is less than 85."
My work is:
x+x+2<85
2x<83
Click here to see answer by checkley75(3666)

Question 80308: Please help me with this story problem involving inequalities. Carlos has more than 80 coins, all nickels and dimes. He has five more dimes than nickels. What is the least mumber of nickels that Carlos can have?
My work:
n+d>80
d=n+5
n+n+5>80
2n>75
?????
Click here to see answer by stanbon(57424)

Question 80309: My question is from a worksheet. It is as follows:Tony is 50 years older than Brett. Twenty years ago Tony was at three times as old as Brett was. At most, now old is Brett now?
I am really lost on this question.
Click here to see answer by 28451320(1)

Question 80310: My question is from a work sheet.
Two trains in opposite direction pass each other on parallel tracks. One train averages at most 80 km/h, and the other averages at most 65km/h. What is the least possible time that it could take for the two trains to be 290 km apart.
TOTALLY LOST!!!
Click here to see answer by stanbon(57424)

Question 80312: Lost again on a worksheet. The question is:
A vat contains 100 gallons of a 50% brine solution. What is the greatest amount of water that can be added if the salt content cannot drop below 25%.
Click here to see answer by ankor@dixie-net.com(15667)

Question 80599: I am haveing the worst time with these inequalities.
9x<5x-28=
3y+2<5y-8=
Click here to see answer by tutor_paul(490)

Question 80895: I am really stumped as to how to solve this inequality.
I would appreciate ANY answers. I just, for some reason, cannot work this one.
3a + 8/2 < 10
Thanks so much. :)
Click here to see answer by bucky(2189)

Question 81007: Please help solve. The problem is: Solve for x. Collect x's on the LEFT side. The solution should be presented with x first, the correct inequality symbol, then the number.
x + 4 – 8x – 1 > 3(x – 2)

My work?
x - 8x + 4 –1 ³ 3x –6
7x + 3 3x – 6
7x + 3 –3 ³ 3x –6 –3
7x 3x – 9 lost???

Click here to see answer by stanbon(57424)

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