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

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Algebra: Inequalities, trichotomy

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Question 201832: One number is fourteen more than twice another. If their sum is decreased by nine, the result is seventeen. Find the numbers. (Enter solutions from smallest to largest.)
Click here to see answer by checkley77(7035)

Question 201831: One side of a triangle is half the longest side. The third side is 13 feet less than the longest side. The perimeter is 72 feet. Find all three sides. (Enter your answers from smallest to largest.)
Click here to see answer by checkley77(7035)

Question 201830: The length of a rectangle is 6 feet less than twice the width. The perimeter is 66 feet. Find the length and width.
Click here to see answer by checkley77(7035)

Question 201833: Justin is 4 years older than Ethan. In 9 years the sum of their ages will be 28. Find the age of each boy now.
Click here to see answer by PRMath(57)

Question 201833: Justin is 4 years older than Ethan. In 9 years the sum of their ages will be 28. Find the age of each boy now.
Click here to see answer by solver91311(5072)

Question 201964: Help Needed;
Graph the feasible region for the system of inequalities.
3y + x ≥ -6
y + 2x ≤ 8
y ≤ 0
x ≥ 0

Click here to see answer by jim_thompson5910(13787)

Question 202030: Solve for x: 9-x>2x+3. thank-you.
Click here to see answer by jim_thompson5910(13787)

Question 202010: Write the inequality in the variable x for the degree measure of the smallest angle of the triangle shown in the figure, gien that the degree measure of the smallest angle is at most 30 degrees.
Click here to see answer by stanbon(26259)

Question 202050: Suppose you have two squares, one of which is larger than the other. Suppose further that the side of the larger square is seven times as long as the side of the smaller square.
If the length of the side of the smaller square is x, find the area of each square.
Find the number of smaller squares it will take to cover the larger square.
Click here to see answer by jim_thompson5910(13787)

Question 202102: I need help with expressing the answer to the following inequality in interval notation.
(y – 3)/3 > 1/3 – (y – 5)/6
Thanks
Click here to see answer by jim_thompson5910(13787)

Question 202207: Need to double-check this equation please:
Determine which, if any, of the following points satisfy the inequality:
3y – 5x ≥15
Choices: (2, -1); (-3, 0); (0, 5); (-3, -4)
3*0 – 5*-3=15 satisfies the equation
3*5 – 5*0=15 satisfies the equation
Click here to see answer by solver91311(5072)

Question 201672: Graph y=log(subscript 3)(x). thankyou so much.
Click here to see answer by solver91311(5072)

Question 202281: Write an inequality that demonstrates how much money you will be willing to spend on the project. At least $6000, no more than $10000.
I am not sure if it is x=$6000><$10000 or x=$6000<<$10000 or if both are wrong.
Click here to see answer by Theo(667)

Question 202312: Solve the inequality (((8x-3<6x+15))).

Click here to see answer by Earlsdon(4898)

Question 202224: Solve the following equation. Be sure to check each answer in the original equation if you multiply both sides by an expression that contains the variable.

x/3 + 1/8 = -7/8
Click here to see answer by Earlsdon(4898)

Question 202275This question is from textbook Algebra Structure and Method
: Solve 3x + 1 <_ -2 or 2x + 3 >_ 5This question is from textbook Algebra Structure and Method

Click here to see answer by RAY100(1637)

Question 202273: Solve -6 <_ 3 + x < 4
Click here to see answer by RAY100(1637)

Question 202227: Solve the following equation. Be sure to check each answer in the original equation if you multiply both sides by an expression that contains the variable.

(x + 4)/3 + (x - 8)/7 = 4/21
Click here to see answer by PRMath(57)

Question 202222: Solve the following equation. Be sure to check each answer in the original equation if you multiply both sides by an expression that contains the variable.

(x-5)/2 +(4x)/3 =7/6
Click here to see answer by RAY100(1637)

Question 202370This question is from textbook Algebra Structure and Method
: Solve -6 <_ 3 + x < 4 Thanks.This question is from textbook Algebra Structure and Method

Click here to see answer by RAY100(1637)

Question 202226: Find the LCD for the following; then subtract as indicated.

16/ 91 -16 / 119
Click here to see answer by RAY100(1637)

Question 202220: 2x^2+4x>15
Click here to see answer by RAY100(1637)

Question 202387: -118<-7a+1<1
Click here to see answer by RAY100(1637)

Question 202444: Solve -14 > 5(2m - 3) - m.
a) {m | m < 1} b) {m | m < 1/9} c) {m | m > 1} d) {m | m > 1/9}
Click here to see answer by jim_thompson5910(13787)

Question 202444: Solve -14 > 5(2m - 3) - m.
a) {m | m < 1} b) {m | m < 1/9} c) {m | m > 1} d) {m | m > 1/9}
Click here to see answer by stanbon(26259)

Question 202648: Rachael hands in her 4th exam. the score on her 1st three exams were 75, 95, and 97. What does she need to earn on the 4th exam to average at least a 90 on the 4 exams? Construct an inequality with the varible x representing her 4th exam score, then solve the inequality for x
Click here to see answer by stanbon(26259)

Question 202679: 2x – (7 + x) < x
will someone please help me with this question... i am lost. thank you!
Click here to see answer by jim_thompson5910(13787)

Question 202680: 2 < 2x – 5 < 7
Click here to see answer by jim_thompson5910(13787)

Question 202681: Solve the following inequality for t:
t/3-t/2>3/4
Click here to see answer by jim_thompson5910(13787)

Question 200576: Please answer the foloowing question:

|x^2+2|x|+3|>4
Click here to see answer by psbhowmick(456)

Question 203691: I need some help on answering this problem and I need to show my work. The inequality problem is 3(x+6)-4>2(x+4)
Click here to see answer by edjones(3292)

Question 203765: solve.
(2-x) + 4x + 2 = 8x +3
Click here to see answer by RAY100(1637)

Question 203735: Why does the inequality sign change when both sides are multiplied or divided by a negative number? Does this happen with equations? Why or why not? Write an inequality for your. In your inequality, use both the multiplication and addition properties of inequalities.

Click here to see answer by jsmallt9(590)

Question 203871: write an inequality to describe a number greater than three(3)
Click here to see answer by Earlsdon(4898)

Question 203878: 3x+4>7
Click here to see answer by checkley77(7035)

Question 204034: For the equation |m-2|>1, would I solve it like so: |m-2| > 1 or |m-2| > -1 so |m|> -1 or |m|>-3.
or do i have to flip the inequality sign when i add the negative?
Click here to see answer by jsmallt9(590)

Question 204033: How do you know if a value is a solution for an inequality? How is this different from determining if a value is a solution to an equation? If you replace the equal sign of an equation with an inequality sign, is there ever a time when the same value will be a solution to both the equation and the inequality? Write an inequality and provide a value that may or may not be a solution to the inequality.

Click here to see answer by jsmallt9(590)

Question 204122: -5x + 1 > 11
Click here to see answer by lexapexa23(1)

Question 203872: graph x > -2 on the number line
Click here to see answer by feliz1965(151)

Question 203873: graph y < 1 on the number line
Click here to see answer by feliz1965(151)

Question 204386: Please help me solve 2x^2-x>3 and condense and simplify 2logx -log5-log(x+1).
Thank you
Click here to see answer by jsmallt9(590)

Question 204436: Solve.
|x - 4| > 3
Click here to see answer by vleith(1977)

Question 204430: Solve.
3x + 1 <= -2 or 2x + 3 >= 5
(3x plus 1 is less than or equal to negative 2 or 2x plus 3 is greater than or equal to 5)

I dont understand the "or" ...
Click here to see answer by vleith(1977)

Question 204617: Can someone help me translate the following expression. Please show the steps so I can do the others on my own. Thanks!

Two plus three times a number is less than one-half of the number

Click here to see answer by jim_thompson5910(13787)

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