Question

I need help fast.

Answer 1

3 ≤ x over -2

Answer 2

A) x ≥ -6
B) x ≥ -1
C) x ≤ -1
D) x ≤ -6

Answer 3

Does anyone know how to do this?

Answer 4

@alex Can you help me solve this?

Answer 5

\[\large\rm 3\le \frac{x}{-2}\]We want to isolate our x.
Think of the fraction as `division`.
So how do you undo the division by -2?
Which operation?

Answer 6

subtract 2 from each side?

Answer 7

Hmm, no.
We could `undo addition` with subtraction.
But that's not how we undo division. That's not the opposite.

Answer 8

Multiply

Answer 9

Ok good, let's multiply both sides by -2 to `undo` the division by -2.
Do you remember what happens when you multiply or divide a `negative across an inequality`?

Answer 10

Noo

Answer 11

one side would be -6

Answer 12

Yes :) one of the sides is -6.
\[\large\rm 3\color{orangered}{\le} \frac{x}{-2}\]
\[\large\rm -2\cdot3\color{orangered}{\ge} \frac{x}{-2}\cdot-2\]When you multiply or divide a negative across the inequality, the sign flips.\[\large\rm -2\cdot3\color{orangered}{\ge} x\]

Answer 13

Yess

Answer 14

So now what? :3

Answer 15

I think that's it, right? 0_o\[\large\rm -6\color{orangered}{\ge} x\]Multiplying the -2 and 3 gave you -6.
Just make sure you have the inequality facing the correct way, as I've show here.

Answer 16

Oh, in the answer key, they have the x's on the left side.
That might be a little confusing.

Answer 17

so in the answer key it would be D ? :) ps:Thank you! You're explanation was perfect!

Answer 18

@AlexandervonHumboldt2

Answer 19

\(\rm -6\ge x\) is the same as \(\rm x\le-6\).
Yes, good job \c:/