Step-by-step explanation:
since in a triangle each side must be shorter than the sum of the other 2 sides (otherwise the end points cannot connect, and there is no triangle), the necessary inequality condition must be
side < 1 + 2 = 3
so,
side < 3
for a lower limit let's go through the cases
1 < 2 + side (is always true)
2 < 1 + side
1 < side (side must be larger than 1)
and again
side < 1 + 2 = 3
side < 3
so the full restriction for the third side is
1 < side < 3
Answer:
b>3.133333333
Step-by-step explanation:
13/5<b-8/15
13/5+8/15<b
39+8/15<b
47/15<b
3.13333333<b
b>3.13333333
Answer:
x>-2
Step-by-step explanation:
first you want to get rid of all of the numbers on the left so you can only be left with 2x>-4 then you decide both sides by 2x because you only want to be left with one x and once you divide you will be left with x>-2
You take out the biggest factor of 9 and 36 which is 9c^2. The factors both have the c variable in common so you take the least exponent and put it with the gcf.
9c^2(c^2+4)