The lengths of two sides of a triangle are 14 inches and 4 inches which of following is the dimensions is the third side of the triangle? 10 in 11 in 8 in 9 in

The sum of any 2 sides of a triangle must be bigger than the length of the third side.

Given 2 sides we can make 3 inequality's to solve:

Let X = the length of the third side.

#1) 14 + 4 > x

18 > x

#2) 14 + X > 4

x > 4-14 = -10 ( This doesn't work because we can't have a side length that is a negative number)

#3) 4 + X > 14

x >14-4 = 10

So using #1 and #3 X has to be greater than 10 and less than 18

The length of the third side is 11.

option 2 is correct.

step-by-step explanation:

we are given two inequality equation

x+y> 5 and -3x+2y< -2

first we draw the graph of both function using t-table method

equation: x+y> 5

for x=0, y=5

for x=-5, y=0

table:

x   :   0     5

y   :   5     0

test point (0,0) , 0> 5

false

equation: -3x+2y< -2

for x=0, y=-1

for x=2, y=4

table:

x   :   0     2

y   : -1       4

test point (0,0) , 0< -2

true

now we draw the graph. see the attachment for graph.

common region would be solution set.

option 2 is correct.

step-by-step explanation: