Understanding how to evaluate, given b (x) = startabsolutevalue x + 4 endabsolutevalue, what is b (negative 10)? logical capacities are fundamental in polynomial math. One common sort of work is the preeminent regard work, which gives information into how numbers relate to zero, free of their sign. In this talk, we'll jump into a specific preeminent regard work and calculate its regard for a particular input. Especially, we'll survey the work b(x)=∣x+4∣b(x) = |x + 4|b(x)=∣x+4∣ when x=−10x = -10x=−10. This examination will not because it outline how to work with incomparable values but as well clarify the strategy of substituting values into capacities.

## Understanding By and Large Regard Capacities

A few times as of late diving into the calculations, it's fundamental to comprehend what a through and through regard work is. The, by and large, regard of a number is it's isolated from zero on the number line, without considering course. For any veritable number xxx, the by and large regard is shown as ∣x∣|x|∣x∣ and is characterized as takes after: on the off chance that xxx is non-negative,∣x∣=x|x| = x∣x∣=x on the off chance that xxx is negative, ∣x∣=−x|x| = -x∣x∣=−x. This definition ensures that the result of the through and through regard work is persistently a non-negative number.

### Work Definition

In our case, the work given is b(x)=∣x+4∣b(x) = |x + 4|b(x)=∣x+4∣. Here, xxx is variable, and the work incorporates a through and through regard expression where xxx is to start with extended by 4 a few times as of late applying the supreme value operation. To evaluate this work, we must start by substituting the specific regard of xxx into the expression and after that apply the through and through regard operation to the result.

### Substituting the Regard

To find b(−10)b(-10)b(−10), , we start by substituting −10-10−10 for xxx inside the work. This comes around within the taking after calculation: b(−10)=∣−10+4∣b(-10) = |-10 + 4|b(−10)=∣−10+4∣ To start with, we perform the math inside the preeminent regard bars: −10+4=−6-10 + 4 = -6−10+4=−6 So, the expression unravels to b(−10)=∣−6∣b(-10) = |-6|b(−10)=∣−6∣

### Applying Through and Through Regard

Another, we need to apply the through and through regard to operation to −6-6−6. As as of now indicated, the outright esteem of a number is its removal from zero, without regard to its sign. In this way, the incomparable regard of −6-6−6 is essentially 666. Hence: ∣−6∣=6|-6| = 6∣−6∣=6 Consequently: b(−10)=6b(-10) = 6b(−10)=6

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## Conclusion

In rundown, surveying the work b(x)=∣x+4∣b(x) = |x + 4|b(x)=∣x+4∣ at x=−10x = -10x=−10 incorporates substituting −10-10−10 into the work, performing the number-crunching insides the by and large esteem, and after that applying the preeminent regard operation. The result of b(−10)b(-10)b(−10) is 666. This handle highlights the coordinated nature of incomparable regard capacities and fortifies the noteworthiness of understanding how to handle basic math operations and work evaluations.