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Tutors Answer Your Questions about Inequalities (FREE)
Question 147824: I have been working on this problem for a while and have gotten several different answers.
0.4x + 3 ≤ 0.8x – 6
I believe solving is easier if I get rid of the decimals by multiplying by 10. Do I multiply every term by 10 or only the terms with decimals?
0.4x + 3 ≤ 0.8x – 6
40x + 30 ≤ 80x – 60
Subtract 80x from both sides
-80x + 40x + 3 ≤ - 60
Subtract 30 from both sides
-80x + 40 x ≤ -60 – 30
-40x ≤ -90
Flip the inequality sign around because I am dividing by a negative number
-40x ≥ -90
x = -90 divided by -40
or 2.25
I this correct?
Thank you very much
Click here to see answer by Fombitz(2113)   |
Question 147976: I am trying to find the solution to the inequality of
6 > - 3x + 5 or 9 £ - 5x + 2
Add 3x to both sides
3x + 6 > 5
Subtract 6 from both sides
3x > -1
X = - 1/3
Next equation
9 £ - 5x + 2
Add 5x to both sides
5x + 9 £ 2
Subtract 9 from both sides
5x £ -7
X = -7/5
Is the solution to the problem
( - ¥, -7/5] È ( -1/3, ¥)
Because - 7/5 is included so it gets a square bracket but -1/3 gets a parentheses because it is not included and the infinite symbol always gets a parentheses.
Am I getting this correct or am I way off?
Thank you for all your time and help with this as I am trying to prepare for a test.
Click here to see answer by oscargut(682)  |
Question 147976: I am trying to find the solution to the inequality of
6 > - 3x + 5 or 9 £ - 5x + 2
Add 3x to both sides
3x + 6 > 5
Subtract 6 from both sides
3x > -1
X = - 1/3
Next equation
9 £ - 5x + 2
Add 5x to both sides
5x + 9 £ 2
Subtract 9 from both sides
5x £ -7
X = -7/5
Is the solution to the problem
( - ¥, -7/5] È ( -1/3, ¥)
Because - 7/5 is included so it gets a square bracket but -1/3 gets a parentheses because it is not included and the infinite symbol always gets a parentheses.
Am I getting this correct or am I way off?
Thank you for all your time and help with this as I am trying to prepare for a test.
Click here to see answer by stanbon(26259)  |
Question 148025: Ronald wants to sell his car through a broker who charges a commission of 10% of the selling price. Ronald still owes $11,025 on the car. Ronald must get enough to at least pay off the loan. What is the range of the selling price?
Click here to see answer by nerdybill(2446)  |
Question 148152: b) Suppose you want to cover the backyard with decorative rock and plant some trees as the first phase of the project. You need 30 tons of rock to cover the area. If each ton cost $60 and each tree is $84, what is the maximum number of trees you can buy with a budget for rock and trees 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.
Click here to see answer by gembaby(1) |
Question 148164: I worked out the inequality and found the possible solutions but do not feel like I am writing the interval notation correctly. I would appreciate your help and a big thank you in advance. 6x^2+25x+14<=0
In the end I have -2/3 and -7/2 so far I have ( -7/2] U [-2/3) with the infinities before the -7/2 and the -2/3.
Click here to see answer by jim_thompson5910(13787) |
Question 149496: 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 and put an inequality sign in its place, is there ever a time when the same value will be a solution to both the equation and inequality?
Click here to see answer by stanbon(26259) |
Question 149730: The original question was:
"Why does the inequality sign change when both sides are multiplied or divided by a negative number? Does this happen with equations?
Answer: "This does not happen with equations because if you flip the equals sign, its still an equals sign"
NEW QUESTION: This statement is true. However, let's build on it a little more. Why is this statement true?
Click here to see answer by kmcruz09(38) |
Question 149916: a cellular phone company offers a contract for which the cost C, in dollars, of t minutes of telephoning is given by c = 0.25(t-300) + 53.95, where it is assumed the t is >= or equal to 300 minutes. What times will keep cost between $93.20 and $127.20?
For the cost to be between $93.20 and $127.20, the telehoning time must be between _____ minutes and _____ minutes.
Click here to see answer by stanbon(26259) |
Question 150027: How would I solve this?
Casey is a salesperson who must decide between two monthly income options:
Option A: Salary of $1950 per month, plus 10% of monthly sales
or Opyion B: Salary of $2420 per month, plus 6% of monthly sales
For what amount of monthly sales is "Option A" a better choice for Casey than Option B?
(Write an appropriate inequality and solve)
Click here to see answer by nerdybill(2446) |
Question 150027: How would I solve this?
Casey is a salesperson who must decide between two monthly income options:
Option A: Salary of $1950 per month, plus 10% of monthly sales
or Opyion B: Salary of $2420 per month, plus 6% of monthly sales
For what amount of monthly sales is "Option A" a better choice for Casey than Option B?
(Write an appropriate inequality and solve)
Click here to see answer by jojo14344(1483) |
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Older solutions: 1..45, 46..90, 91..135, 136..180, 181..225, 226..270, 271..315, 316..360, 361..405, 406..450, 451..495, 496..540, 541..585, 586..630, 631..675, 676..720, 721..765, 766..810, 811..855, 856..900, 901..945, 946..990, 991..1035, 1036..1080, 1081..1125, 1126..1170, 1171..1215, 1216..1260, 1261..1305, 1306..1350, 1351..1395, 1396..1440, 1441..1485, 1486..1530, 1531..1575, 1576..1620, 1621..1665, 1666..1710, 1711..1755, 1756..1800, 1801..1845, 1846..1890, 1891..1935, 1936..1980, 1981..2025, 2026..2070, 2071..2115, 2116..2160, 2161..2205, 2206..2250, 2251..2295, 2296..2340, 2341..2385, 2386..2430, 2431..2475, 2476..2520, 2521..2565, 2566..2610, 2611..2655, 2656..2700, 2701..2745, 2746..2790, 2791..2835, 2836..2880, 2881..2925, 2926..2970, 2971..3015, 3016..3060, 3061..3105, 3106..3150, 3151..3195, 3196..3240, 3241..3285, 3286..3330
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