9th grade exam question (another one, sorry!)?

Question

So I just tried to find the correct answer for one of my exam questions, and I got the same answer! Maybe my teacher corrected it wrong?

Tell me what you guys get:
2/3(4-x)≥1/2

I got 3 1/4 several times already!

ATTENTION, THE ANSWER THAT I GOT IS REALLY

X=3 1/4 OR X<10

IGNORE THE ABOVE DETAILS

Answer 1

Ok,

2/3(4-x)>=1/2

Divide both sides by 2/3

4-x >= 3/4

Subtract 4 from each side

-x >= -3 1/4

Multiply both sides by -1 (this will flip the > operator)

x=<3 1/4

Did you have it x>=3 1/4?

Answer 2

NOTE: 13/4 = 3 + 1/4


2/ (3(4-x)) = 1/2

will yield x = 13/4

however:
2/ (3(4-x)) > 1/2

is true only when 0 < x < 13/4

sooooooooooo
the answer to the 'stated' question is: 0 < x < = 13/4

I use "< =" for "less than or equal to"

Answer 3

It actually is 3 1/4, but when you're doing this harder algebra instead of probs like 1+1, you gotta start using improper fractions instead of mixed numbers. Trust me. They make life a lot easier. Thus, your answers would be 13/4, instead of 3 1/4.

Answer 4

Brackets MUST be used to clarify question.
Assume you mean:-
(2/3)(4 - x) ≥ 1/2
4(4 - x) ≥ 3
16 - 4x ≥ 3
4x ≤ 13
x ≤ 13/4
x ≤ 3 ¼

Answer 5

you got the answer right, but maybe you just forgot to switch the signs? remember to switch the inequality signs after dividing or multiplying! also, the answer cannot just be 3.25, it must contain x, the variable, and the inequality sign as well...

Answer 6

I'm not going to solve the problem, but I know your answer is wrong because the equation is an inequality, meaning there is no exact answer. You may have just left out the sign, I dunno.