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

## Answer This Question

## Related Questions

- Algebra--Correction? - Solve x^2 -3x is greater than or equal to 10 Would the ...
- math - State the null hypothesis, Ho, and the alternative hypothesis, Ha, that ...
- Algebra - Hi. I have an answer for this and just need to confirm it. 2x+5(less ...
- Statisics - Max 2A + 7B s.t. A + B greater than or equal to 12 2A + 2 B less ...
- Algebra - Use a graphing calculator or a computer to graph the system of ...
- algebra - use the inequality -4t-8 is less than or equal to 12 a. t is greater ...
- Math - Could someone please help me with this problem? I need to solve -5/2x ...
- linear programming - For the linear program Max 2A + 7B s.t. A + B greater than ...
- algebra/ inequalities - Posted by lauren on Thursday, April 17, 2008 at 8:45pm ...
- math - solv the inequality: 1. 7-3x [is less than or equal to] 22 ---> x [is ...

More Related Questions