If the perimeter of the triangle must be less than 37.1 meters, express the possible values of x as an inequality.

Question

Side 1 : x m

Side 2: 12.5 m

Side 3: 11.8 m

Answer 1

"perimeter of the triangle must be less than 37.1 means that:

x + 12.5 + 11.8 ≤ 37.1

x < 12.8

Also, the sum of any two sides must exceed the length of the third side.

12.8 + 12.5 > 11,8 o.k.

x + 12.5 > 11.8

x > -0.7 o.k.

x + 11.8 > 12.5

x > 0.7

So,

0.7 < x < 12.8

Answer 2

x + 12.5 + 11.8 < 37.1