Question

[5.01] Part 1: Solve the inequality 12 + 4x 5x - 2 and show all of your work. You can use <= to represent the less than or equal to symbol.
Part 2: Use complete sentences to describe the graph of the solution from Part 1. Be sure to include the type of circle and which direction the shading will be.

Answer 1

\(12 + 4x \le 5x - 2\)
u hav to isolate x if u r to solve the inequality.
To do that follow the steps
1.Subtract 4x both sides.
2.Add 2 both sides.
Can u do it @callme911?

Answer 2

...

Answer 3

sorry

Answer 4

u dnt get me?

Answer 5

nop

Answer 6

Can u solve this equation?.
x+3=5

Answer 7

x=2

Answer 8

yup right:)
similarly can u solve
12+4x=5x-2?

Answer 9

I am really sorrry. Hav to go nw:(

Answer 10

ok

Answer 11

@callme911

An inequality is practically like an equation. So let's solve it in the same way...

12 + 4x <= 5x - 2

So just like normal equation algebra, you need to get all the x terms on one side and all the number terms on the other.

How about subtracting 4x from both sides...
12 + 4x <= 5x - 2
12 + 4x - 4x <= 5x - 4x - 2
12 <= x - 2

Then get all the numbers on the left by adding 2 to both sides...
12 + 2 <= x - 2 + 2
14 <= x

That's all there is... it's just like solving an equation. This is what @ajprincess was saying earlier.

There is one small difference... doesn't matter here, but if you had an example like
-x <= -10 where your x term is negative, you can multiply through by -1 to make it all positive, but when you do that, you have to switch the direction of the inequality:

-x <= -10
(-1)(-x) >= (-1)(-10) <<<---- see? "<=" switched to ">="
So....
x >= 10

Answer 12

what about # 2