Question

MAFS.6.EE.2.5Let x represent any number in the set of even integers greater than 1.Which inequality is true for all values of x?x < 0X > 0x < 4x> 4

Answer 1

Given that "x" represents any number in the set of even integers greater than 1, you need to remember the definition of Even Numbers.

Even Numbers are those numbers are that divisible by 2.

In this case, knowing that "x" is greater than 1, the set of even integers can be represented as:

`\lbrace2,4,6,8,10,12...\rbrace`

Therefore, you can conclude the following by analyzing the options given in the exercise:

• "x" cannot be less than zero.

,

• "x" cannot be less than 4, because it wouldn't include the even integers greater than 4.

,

• "x" cannot be greater than 4, because it wouldn't include the even integer 2.

,

• "x" has to be:

`x>0`

Hence, the answer is: Option B.