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

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 Algebra: Inequalities, trichotomy Solvers Lessons Answers archive Quiz In Depth

 Question 280108: show that the values 0,1,-1 for x all satisfy (x-1)(x-1)+(x+1)(x+1)=2(x*x+1). Is this equation an identity? Click here to see answer by richwmiller(9135)

 Question 280088: 1. You are planning to spend no less than \$6,000 and no more than \$10,000 on your landscaping project. How do you write this as an inequality Click here to see answer by stanbon(57337)

 Question 280237: Mary wishes to purchase a car. She wishes to spend at most \$8,000. The sales tax rate in her state is 7%. Title and license plate fee is \$120. What is the maximum amount she can spend for an automobile? Click here to see answer by rfer(12657)

 Question 280466: Solve the inequality 3>/2x-3/>-1 / /represents absolute value and > should be greater or equal to sign Click here to see answer by stanbon(57337)

 Question 280539: 13n+0r=117 & 150n-90r=1,800 This has to be solved by subsition method Click here to see answer by richwmiller(9135)

 Question 280561: I need to solve for -7x > 1/15 by multiplying I tried by adding 7x to both sides like -7x + 7x = -x than I took 1/15 * 15/1 = 15 +7 = 22 so x = 22? Click here to see answer by richwmiller(9135)

 Question 280610: 4w-6>6w-20 you subtrict 4w both sides 4w-4w-6>6w-4w-20 =-6>2w-20 then you add 20 both sides -6+20>2w-20+20 = 14>2w then divide both side by 2 7>w means w<7 this is the answer Click here to see answer by cyclones14(1)
 Question 280610: 4w-6>6w-20 you subtrict 4w both sides 4w-4w-6>6w-4w-20 =-6>2w-20 then you add 20 both sides -6+20>2w-20+20 = 14>2w then divide both side by 2 7>w means w<7 this is the answer Click here to see answer by mamii(1)

 Question 280892: The sum of two numbers is greater than 27. The second number is 3 less than the first. What are the possible values for the first two numbers? In your answer, denote the first number by x. Click here to see answer by unlockmath(1599)

 Question 281042: Imagine you want to cover the backyard with decorative rock and plant some trees. You need 30 tons of rock to cover the area. If each ton costs \$60 and each tree is \$84, what is the maximum number of trees you can buy with a budget of \$2,500? Write an inequality that illustrates the problem and solve. Express your answer as an inequality and explain how you arrived at your answer. Would five trees be a solution to the inequality in Part b? Justify your answer. Click here to see answer by richwmiller(9135)

 Question 281774: josh got a summer job that pays 6 dollars an hour. josh has to buy 2 uniforms that each cost \$19.94. but josh has to save at least \$655 after buying the uniforms, by the end of the summer. write an inequality that show how many days josh has to work inoder to save at leats \$655 another problem: josh finds out that he has to pay \$48 for transportation , show and explain how this changes the inequality. Click here to see answer by richwmiller(9135)

 Question 281769: what is the answer to find the value of x (2x-2)(x+9) i thought it was 11 Click here to see answer by Alan3354(30993)

 Question 282183: How do you solve this problem algebraically: x*2+y*2≤25 Click here to see answer by Mathematicians(84)

 Question 283084: Given | 2x – 7 | > 7. Solve for x. a) x < -7 or x > 7 b) x < -7/2 or x > 7/2 c) x < 0 or x > 7 d) x < -2/7 or x > 7 Click here to see answer by richwmiller(9135)

 Question 283152: What is/are the value/s of the inequality in interval notation? Thank you! Click here to see answer by Edwin McCravy(8908)

 Question 283691: Okay, I need help again with: 8 - 3c = 2c - 2 --- and I have tried adding 2 and getting 8 - 5c = -2 and then adding -8 to get 5c = -10 divided by 5 which is c = -2 but then the check doesn't work out. What now?? Click here to see answer by richwmiller(9135)
 Question 283691: Okay, I need help again with: 8 - 3c = 2c - 2 --- and I have tried adding 2 and getting 8 - 5c = -2 and then adding -8 to get 5c = -10 divided by 5 which is c = -2 but then the check doesn't work out. What now?? Click here to see answer by Deina(147)

 Question 283701: A movie theater had a certain number of tickets to give away. Five people got the tickets. The first got one-third of the tickets, the second got one-fourth of the tickets, and the third got one-fifth of the tickets. The fourth person got eight tickets, and there were five tickets left for the fifth person. Find the total number of tickets given away. Click here to see answer by richwmiller(9135)
 Question 283701: A movie theater had a certain number of tickets to give away. Five people got the tickets. The first got one-third of the tickets, the second got one-fourth of the tickets, and the third got one-fifth of the tickets. The fourth person got eight tickets, and there were five tickets left for the fifth person. Find the total number of tickets given away. Click here to see answer by mananth(12270)

 Question 283726: Jason has budgeted an average of \$95 a month for entertainment. For the first five months of the year, he has spent \$98, \$89, \$110, \$85, and \$83. How much can Jason spend in the sixth month without exceeding his average budget? Click here to see answer by richwmiller(9135)
 Question 283726: Jason has budgeted an average of \$95 a month for entertainment. For the first five months of the year, he has spent \$98, \$89, \$110, \$85, and \$83. How much can Jason spend in the sixth month without exceeding his average budget? Click here to see answer by stanbon(57337)

 Question 283722: a. About 35.9% of all charitable contributions are made to religious organizations. In 2003, about \$86.4 billion was given to religious organizations. How much was given to charities in general? Click here to see answer by richwmiller(9135)

 Question 283751: Cuál es el conjunto de solución en una igualdad, en una inecuación tipo ≥ , en una inecuación tipo< y en una inecuación tipo ≤. Click here to see answer by richwmiller(9135)

 Question 283824: Given | 2x – 7 | > 7. Solve for x. a) x < -7 or x > 7 b) x < -7/2 or x > 7/2 c) x < 0 or x > 7 d) x < -2/7 or x > 7 Click here to see answer by palanisamy(496)

 Question 283972: what is -3 + 12a < -4 + 11a Click here to see answer by richwmiller(9135)

 Question 284636: Why does the inequality sign change when both sides are multiplied or divided by a negative number? Click here to see answer by richwmiller(9135)
 Question 284636: Why does the inequality sign change when both sides are multiplied or divided by a negative number? Click here to see answer by Alan3354(30993)