Question

Solve the following inequality and then choose the correct solution.
-\frac{x}{9}\; -\; 2< 3

A. x> -\frac{5}{9}
B. x> -45
C. x< -45
D. x< -\frac{5}{9}

Answer 1

\[ -\frac{x}{9}\; -\; 2< 3\]

Answer 2

\[A. x> -\frac{5}{9}\]

Answer 3

@sleepyjess

Answer 4

Where is your work?

Answer 5

Inequalities! I'm doing this right now in my class! Let's isolate x

Answer 6

I don't even know how to even do this, so I can'y show my work :P

Answer 7

I'll let Jess take over if she wants to :)

Answer 8

Ok, we need to isolate X. What do fractions have to do with inequalities though? They are very confusing :\

Answer 9

zeron, do you know how to solve \(-\dfrac x9 -2 = 3\)

Answer 10

Nope

Answer 11

I know how to it with no fractions, or is that even a fraction?
9x - 2 = 3? Add 2 and divide by?

Answer 12

Okay. Let's work with what you know. Add 2

Answer 13

2 is negative so that cancels out. 3+2=5 9+2=11

Answer 14

That gives \(-\dfrac x9 > 5\).
Now, we added to get rid of subtraction. You know we divide to get rid of multiplication. So what do you think we do to get rid of division?

Answer 15

Multiply by 9?

Answer 16

Almost, look at the sign, 9 is negative, so multiply by -9

Answer 17

ohh. If we multipled 9 by a positive, would the outcome be negative or posiitve?

Answer 18

If we do \(-\dfrac x9 * -\dfrac 91\), the -9 in the denominator of the first fraction cancels with the -9 in the numerator of the second fraction

Answer 19

Oh so there is no longer a 9. just X

Answer 20

Correct, now 5*-9 =?

Answer 21

45.

Answer 22

-45*

Answer 23

If we multiply negative by a positive we get negative, right?

Answer 24

Correct, now, when we have an inequality and we have to multiply or divide by a NEGATIVE number, in this case -9, we have to flip the inequality sign. So \(x>-45\) actually becomes \(x < -45\)