For a craft project, four students each chose three pieces of wire from a box.

don’s wires measure 3 inches, 5 inches, and 12 inches.
margo’s wires measure 6 inches, 8 inches, and 14 inches.
sonji’s wires measure 12 inches, 8 inches, and 17 inches.
liam’s wires measure 16 inches, 8 inches, and 27 inches.

Sonji chose pieces that can be used to construct a triangle

Step-by-step explanation:

Remember that a triangle should follow this rule:

The sum of any two of its sides should be greater than the other side.

Notice Don's wires measure does not follow that rule because 3+5=8  is smaller than the other side length: 12

Similarly Margo's wires measure does not follow the rule since 6+8=14 it is not greater than the other side whose length is 14

Sonji's wires measure  follows the rule since:

12+8=20 is greater than 17

12+17 = 29 is greater than 8

17+8 = 25 is greater than 12

Liam's wires measure does not follow the rule either because 16+8= 24 is smaller than 27.

Therefore it is Sonji who chose pieces that can be used to construct a triangle

x> 6

step-by-step explanation:

8x+8> 7x+14

8x-7x> 14-8

x> 6