Ok so i did the triangle inequality for this problem. Yet the results I got were X>-4, X>-6/7, and X>0. How do i write a final statement for this? The problem was in triangle ABC, A=4X+5, B=3X+2 and C=6x+3. You have to determine the possible ranges for X.
2007-02-11 02:24:26 · 2 answers · asked by Sam S 1 in Science & Mathematics ➔ Mathematics
x>0 is final
2007-02-11 02:37:50 · answer #1 · answered by Helper 6 · 0⤊ 0⤋
I'm not sure how you got your results for possible constraints on X.
I'll use two strategies: i) each of the three expressions should be greater than 0 and ii) the sum of any two should be greater than the third.
so if you plug in x>-4, we can see that all three sides will be negative when x is close of -4, meaning there's no need to use this constraint.
if you look at the constraint that A < B+C
we get 4x+5 < 6x + 5
ie 4x <6x
this immediately excludes both your x>-4 and x>-6/7
2007-02-11 02:43:43 · answer #2 · answered by astatine 5 · 0⤊ 0⤋