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moongazer
 4 years ago
6x+10>7
show your solutions please.
moongazer
 4 years ago
6x+10>7 show your solutions please.

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moongazer
 4 years ago
Best ResponseYou've already chosen the best response.06x+10>7 I already get on how to solve this

hoblos
 4 years ago
Best ResponseYou've already chosen the best response.06x+10 > 7 Or 6x +10 <7 x<1/2 x>17/6

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0Well moongazer whenever an expression is inside a mod function then you have to consider two cases either positive or negative that is what hobolos replied

JamesJ
 4 years ago
Best ResponseYou've already chosen the best response.2Whenever you have an equation  stuff  > c, then you need to consider two cases. 1. If stuff > 0, then by definition of absolute value  stuff  = stuff and therefore  stuff  > c => stuff > c This is now an ordinary algebra inequality that you can solve. That is the first case you have here: 6x + 10 > 7 2. There if of course a second case: stuff < 0. In which case, by definition of absolute value  stuff  =  stuff and therefore  stuff  > c => stuff > c. That is the second case you have here (6x+10) > 7 Now take these two cases and solve them. That's the algebraic approach.

moongazer
 4 years ago
Best ResponseYou've already chosen the best response.0so I can multiply first the 6x+10 by  before applying the rules?

moongazer
 4 years ago
Best ResponseYou've already chosen the best response.0I am just confused when to change < to this > or vice versa.

JamesJ
 4 years ago
Best ResponseYou've already chosen the best response.2By definition if y < 0, then y = y. For example, if y = 3, then y = 3 = 3 = y. Write here y = 6x + 10. If y = 6x + 10 < 0, then y = 6x + 10 = (6x+10)

moongazer
 4 years ago
Best ResponseYou've already chosen the best response.0if x is negative isn't it I need to change < to >

moongazer
 4 years ago
Best ResponseYou've already chosen the best response.0This is my only question if x is negative isn't it I need to change < to >

JamesJ
 4 years ago
Best ResponseYou've already chosen the best response.2Whenever you have an inequality a < b if you multiply both sides by a negative number then the inequality changes. For instance a < b ==> 2a > 2b a < b ==> 17a > 17b a < b ==> a > b

moongazer
 4 years ago
Best ResponseYou've already chosen the best response.0like 6x>3 to x< 3/6

moongazer
 4 years ago
Best ResponseYou've already chosen the best response.0because x is negative right ?

JamesJ
 4 years ago
Best ResponseYou've already chosen the best response.2No. It is true that 6x>3 ==> x< 3/6 because you just multiplied both sides by a negative number, 1/6

JamesJ
 4 years ago
Best ResponseYou've already chosen the best response.2x itself could be negative or positive or zero.

JamesJ
 4 years ago
Best ResponseYou've already chosen the best response.2So, have you been able to replicate this solution now: 6x+10 > 7 Or 6x +10 <7 x<1/2 x>17/6

JamesJ
 4 years ago
Best ResponseYou've already chosen the best response.2If so, I want to show you one other way to tackle the problem.

moongazer
 4 years ago
Best ResponseYou've already chosen the best response.0Will the answer be the same if I did 6x10 > 7 Or 6x 10 <7 ?? cause I think it will

JamesJ
 4 years ago
Best ResponseYou've already chosen the best response.2In case 1, when 6x + 10 > 0, we have  6x + 10  > 7 ==> (6x+10) > 7 ==> 6x10 < 7 In case 2, when 6x+10 < 0, we have  6x + 10  > 7 ==> (6x+10) > 7 ==> 6x10 > 7 So the answer to your question is yes. But it's very important to understand why. If you just blindly try to use rules for problem solving without understanding how they relate the definition and properties of the mathematics objects you're using, you're certain to get into trouble sooner or later.

JamesJ
 4 years ago
Best ResponseYou've already chosen the best response.2I'll leave you to it now.

moongazer
 4 years ago
Best ResponseYou've already chosen the best response.0I have another question in an ordinary equality or inequality if I multiplied the left side by negative; do I also need to multiply the right side by negative?

moongazer
 4 years ago
Best ResponseYou've already chosen the best response.0Thank You I just wanted to know. :)

JamesJ
 4 years ago
Best ResponseYou've already chosen the best response.2***Correction to post above: In case 2, when 6x+10 < 0, we have  6x + 10  > 7 ==> (6x+10) > 7 ==> 6x10 > 7 [NOT 7]
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