Question

Can someone please help me with inequalities? Thank you!

Answer 1

Here are the problems.
4x < 20

Answer 2

4x<20
x<20/4
x<5

Answer 3

So I divide each side by 4? What about this one?
-4x < 20

Answer 4

Whenever you divide or multiply by a negative number the inequality changes so the answer is:

-4x<20
x>20/-4
x>-5

Answer 5

Can you walk me through this next problem step by step?
3x + 5 > 17

Answer 6

First move the 5 over to the right side by subtracting 5 from the left and adding 5 to the right, ok?

Answer 7

Do you get that step?

3x +5 - 5 > 17 -5

Answer 8

Sorry no. What is the first step?

Answer 9

You can look at the inequality as scale that your'e trying to keep in balance, whenever you to do something on one side you have to keep the balance and do it on the other side

Answer 10

That is the first step :)

Answer 11

Kind of... SO what you did was subtract the 5, then subtract it from the 17?

Answer 12

Exactly!

Answer 13

So you get
\[3x>12\]

Answer 14

How do I know which way to point the >?

Answer 15

You have kept the balance since you subtracted the same amount from both sides

Answer 16

The > never changes unless if you divide or muliply by a negative number

Answer 17

I am still having a very hard time understanding this... Can you write down the steps, like subtract this, then add this, etc?

Answer 18

3x + 5 > 17

First subtract 5 from both sides

What remains is:

3x > 12

Divide both sides by 3

x>4

Since 3/3 =1 and 12/3=4