- Thread starter
- #1

- Thread starter frctl
- Start date

- Thread starter
- #1

- Mar 1, 2012

- 973

multiply every term by the common denominator, $6$ ...

$6 - 2(x-3) \le 3$

can you finish it?

- Thread starter
- #3

- Mar 1, 2012

- 973

... what happens when you divide both sides of an inequality by a negative number ???Yes, thank you

-2x - 6 ≤ -3

-2x ≤ -9

x ≤ 9/2

- Jan 29, 2012

- 1,151

If x= -2 then x is certainly less than 9/2= 4 but -2x- 6= 4- 6= -2 is not less than -3 so that can't be right.Yes, thank you

-2x - 6 ≤ -3

-2x ≤ -9

x ≤ 9/2

- Thread starter
- #6

- Mar 1, 2012

- 973

Correction

6 - 2(x - 3) ≤ 3

-2x - 6 ≤ -3 should be -2x + 6<-3

-2x ≤ -3

flip inequality sign

x ≥ 3/2

correction again