Question

Which symbol creates a true sentence when x equals 6?

4² + ( x - 3 )² - 28
A. >
B. <
C. =

Answer 1

The symbol that creates a true sentence when x equals 6 in the expression
`\(4^2 + (x - 3)^2 - 28\) is \(=\).` Thus the correct option is C.

Step-by-step explanation:

To determine the symbol that creates a true sentence when \(x\) equals 6, we substitute x = 6 into the expression
`\(4^2 + (x - 3)^2 - 28\)` and simplify.

`\(4^2 + (6 - 3)^2 - 28\)` becomes
`\(16 + 3^2 - 28\)`, which simplifies to 16 + 9 - 28, resulting in -3

Now, when comparing -3 to 0 (as in the original expression
`\(4^2 + (x - 3)^2 - 28\))` , the correct symbol is (=) because (-3) is equal to 0.

In conclusion, the symbol (=) creates a true sentence when (x) equals 6 in the given expression. This indicates that the expression evaluates to zero when (x) is substituted with 6.