Question

A solution to the compound inequality 16 > 4 - 3x > -11 is provided below. Choose the statement that is true about the given solution.



There is a mistake in line # 1.


There is a mistake in line # 2.


There is a mistake in line # 3.


There are no mistakes, the solution is correct.

Answer 1

do you know how to solve this inequality?
Step 3 is incorrect because whenever you divide by a negative number in an inequality, then the inequality signs change so when you move from:
\[12>-3x>-15\]
divide by -3 then the answer should be:
\[-4<x<5\]
See how changed the sign?

Answer 2

is there a chnge though like what line is wrong?????

Answer 3

Yes, line 3. There was no change in the signs on line 3, thats the mistake.

Answer 4

thank you i just didn't get the whole thing all together

Answer 5

Sure, no problem.