SOLUTION: Which answer choice describes the set of all solutions to the inequality |x – 3| < -2?
A. There are no solutions.
B. x < 1 or x > 5
C. x > 1 and x < 5
D. All real
Algebra ->
Inequalities
-> SOLUTION: Which answer choice describes the set of all solutions to the inequality |x – 3| < -2?
A. There are no solutions.
B. x < 1 or x > 5
C. x > 1 and x < 5
D. All real
Log On
You can put this solution on YOUR website! |x – 3| < -2?
Since an absolute value can never be less that 0, there are no values of x that make that statement true.
Answer A
|x – 3| < -2
Absolute values are never negative, so it impossible of
the absolute value of any number to be less than -2.
The correct choice is A. There are no solutions.
-----------------------------------------------
Notice that if the problem had been
|x – 3| > -2
the correct choice would have been D. All real numbers, because
all absolute values are 0 or greater and thus are always greater
than any negative number.
Edwin
You can put this solution on YOUR website! Which answer choice describes the set of all solutions to the inequality |x – 3| < -2?
-----------
Absolute values are never negative.
Ans: A
------------
Cheers,
Stan H.
------------
A. There are no solutions.
B. x < 1 or x > 5
C. x > 1 and x < 5
D. All real numbers.