Posted by **marianne** on Sunday, June 1, 2008 at 9:43am.

20 - 4/5x greater than or equal to 16. I did this and got the answer x greater than or equal to -5 but the correct answer is said to be x is less than or equal to 5. i am not sure what i did wrong. thanks

- algebra -
**Damon**, Sunday, June 1, 2008 at 10:09am
20 - (4/5)x ≥ 16 ??

-(4/5)x ≥ -4 now multiply both sides by -1 and change direction of arrow

(4/5) x ≤ 4

x ≤ 5

- algebra -
**drwls**, Sunday, June 1, 2008 at 10:11am
I will first assume the second term is 4x/5 and not 4/(5x)

If 20 - 4x/5 >or= 16

-4x/5 >or= -4

-4x >or= 20

Now here is where you probably went wrong: When you multiply or divide both sides of an inequality by a negative number, you must change the direction of the > or < sign.

Divide by -4 and you get

x <or= 5

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