|x-4| ≤ 10 - |x+4|
x-4 ≤ 10-|x+4| AND -x+4 ≤ 10 - |x+4)
|x+4 ≤ 14-x AND |x+4| ≤ 6 + x
x+4≤14-x AND -x-4 ≤ 14-x AND x+4 ≤ 6+x AND -x-4 ≤ 6+x
2x ≤ 10 AND -4 ≤ 14 AND 4 ≤ 6 AND -2x ≤ 10
x ≤ 5 AND x ≥ -5
The two inner statements are true, so we just use the outer two.
I don't use this "new" interval notation, I prefer
-5 ≤ x ≤ 5
I will let you change it to your notation.
Challenge 7: What values of x satisfy |x-4|+|x+4|<= 10.
Please give your response in intveral notation.
1 answer