Question 1

x = 1

To determine the value of x in the equation 4 + x = 6 - x, we can rearrange the equation to isolate x. By moving x from the right side to the left and combining like terms, we find that x equals 1.

A) Not Provided

There is no text associated with this option, thus it cannot be evaluated.

B) 1

This option is correct because substituting x with 1 in the original equation results in a true statement: 4 + 1 equals 6 - 1, or 5 = 5, which holds.

C) 2

This option is incorrect because substituting x with 2 yields 4 + 2, which equals 6, but 6 does not equal 6 - 2, which is 4. Thus, this does not satisfy the original equation.

D) 5

This option is also incorrect. If we substitute x with 5, we get 4 + 5 equals 9, while 6 - 5 equals 1. Therefore, 9 does not equal 1, failing to satisfy the equation.

Conclusion

The value of x is definitively 1, as it is the only solution that satisfies the equation 4 + x = 6 - x. All other options, 2 and 5, do not hold true when substituted back into the original equation, confirming that they are incorrect.