EXPLAINING ABSOLUTE FUCTIONS

[plac6636]

THE QUESTION IS: "WHAT DOES IT MEAN FOR /3X-3/ < 7. DESCRIBE IN WORDS WHAT THE GIVEN ABOLUTE VALUED EQUATION MEANS."

MY ANSWER WOULD BE "THE ABOLUTE VALUE OF 3X-3 IS LESS THAN 7."

WOULD IT BE NESSARY TO SOLVE THE INQUALITY FIRST AND THEN DESCRIBE IT? JUST WANT TO BE ON THE RIGHT PAGE BEFORE GOING FURTHER.

 

[stapel]

Reading the inequality aloud is not the same as "describing in your own words". What does the inequality mean? How would you state it without the absolute values?

Eliz.

 

[plac6636]

I GUESS I JUST DON'T GET WHAT THE QUESTION IS ASKING OR WHAT YOU MEAN EITHER.

 

[Denis]

THE QUESTION IS: "WHAT DOES IT MEAN FOR /3X-3/ < 7. DESCRIBE IN WORDS WHAT THE GIVEN ABOLUTE VALUED EQUATION MEANS."
MY ANSWER WOULD BE "THE ABOLUTE VALUE OF 3X-3 IS LESS THAN 7."
WOULD IT BE NESSARY TO SOLVE THE INQUALITY FIRST AND THEN DESCRIBE IT? JUST WANT TO BE ON THE RIGHT PAGE BEFORE GOING FURTHER.

Couple points:
please do not use capital letters (except when required)
show absolute value this way: |3x - 3| or abs(3x - x)

What it means is the result of 3x - 3 is treated as positive in ALL cases.
So the integer range is -1, 0, 1, 2, 3:
3(-2) - 3 = -9 = 9 : no, not <7
3(-1) - 3 = -6 = 6
3(0) - 3 = -3 = 3
3(1) - 3 = 0
3(2) - 3 = 3
3(3) - 3 = 6
3(4) - 3 = 9 : no, not <7

Capish capush?

 

[pka]

The actual meaning of absolute value is that it is a metric.
That is, |a| is defined as the distance the number a is from zero.
Thus |5|=5 because 5 is 5 units from zero.
Likewise |−4|=4 because −4 is 4 units from zero.
If we have |x|=6, we want to know what x’s are six units from zero: well x=6 or x=−6.
If we write |y|<4, we are saying the numbers y are less than 4 units from 0: −4<y<4.
In your problem you have a number 3X−3, what do you say?