Seven less than three times her number is between two and eleven(inclusive)

3≤x≤6

Step-by-step explanation:

2≤3x-7≤11

2+7≤3x-7+7≤11+7

9≤3x≤18

9÷3≤3x÷3≤18÷3

3≤x≤6

m∠BEC + m∠CED = m∠BED; Angle Addition Postulate

Step-by-step explanation:

For example : If ∠MON and ∠NOK are joined such that NO is the common line segment between then then the new angle will be ∠MOK or ∠KOM.

In given figure , m∠BEC and m∠CED are joined and they have common line segment CE , then the new angle m∠BED= m∠BEC + m∠CED

Hence, the correct statement that completes the given proof :

m∠BEC + m∠CED = m∠BED; Angle Addition Postulate