Please solve -4-5v<-29.

step by step

### 6 Answers | Add Yours

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

-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

-4-5v<-29.

okay so you want to try to isolate the v, or the unkown variable by itself in order to do this you would add 4 to both sides (remember what you do to one side of the equal sign or > or< sign, you must do to the other

-5v<-25

then divide by -5, but when you have > or< signs, when you divide by a negitive number, you must flip the sign

so it would be v>5.

-4 - 5v < -29

First you can imaging " < " as an " = " sign

So you should add 4 on both sides

By adding on both sides, you should get

**-5v < -25** now divide both sides by -5

By dividing, your equation should look like

**v > 5 **which is your answer

**now remember that for equation that has signs " > " or " < " if you divide or multiply, then you have to switch the sign**

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.

-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

### Join to answer this question

Join a community of thousands of dedicated teachers and students.

Join eNotes