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Please solve -4-5v<-29.step by step

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lilbree217x | Student, Grade 9 | eNotes Newbie

Posted February 22, 2009 at 7:27 AM via web

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Please solve -4-5v<-29.

step by step

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ladyvols1 | High School Teacher | (Level 3) Senior Educator

Posted February 22, 2009 at 10:44 AM (Answer #1)

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To solve this inequality you must first isolate the variable.  To do this you must add +4 to each side.  After this is done you will be left with -5v<-25.  The next step will be to divide each side by -5.    -5/-5v < -25/-5.  Following this step you will have your answer.  V< 5.

Thus, negative 4 plus a negative 5V is any number less than a negative 25.  Your solution is V is any number less than 5.

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kmieciakp | High School Teacher | Valedictorian

Posted February 22, 2009 at 1:26 PM (Answer #2)

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But when you multiply both sides of an inequality by a negative number, you reverse the inequality.  So the answer is v>5

Note this example, if answer were v < 5 :

suppose v=1;

then -4 -(5x1)<-29

-4 - 5 < -29

-9 < -29--which is not true.

But suppose v is a number greater than 5, like 6:

-4 - (5x6) < -29

-4 - (30) < -29

-34 < -29.

and just to be sure, let's make sure v cannot equal 5:

-4 - (5-5) < -29

-4 - (0) < -29

-4 < -29--not true, so that's settled.

To recap then, solve -4 - 5v < -29 like this:

-4 - (5v) < -29

-5v < -29 +4

-5v < -25

(-1/5)5v < -25(-1/5)

when multiplying both sides of an inequality by a negative number, you need to flip the inequality

v > 5

 

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lizbethortiz | Student , Undergraduate | eNotes Newbie

Posted February 27, 2009 at 1:15 PM (Answer #3)

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-4-5v<-29      you first cancelled the -4 by adding +4 then you do the same to the other side by adding  4 to -29 = -25

-5v<-29+4

-5v<-25        Then you divide by -5 to both sides by you need to change the symbol because you are dividing a negative

v>-25/-5

v>5

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Wiggin42 | Student , Grade 12 | eNoter

Posted April 23, 2014 at 11:20 AM (Answer #4)

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-4-5v<-29

Isolate variables: 

Add/Subtract first

-5v < -29 + 4

-5v < -25

Multiply/Divide second

v > -25/5 (Sign change so flip the inequality sign!)

v > -5

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