Question

Evaluate this expression:

| b + 1 | + 8

Answer 1

`\quad \huge \quad \quad \boxed{ \tt \:Answer }`

`\qquad \tt \rightarrow \:\pm b + 9`

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`\large \tt Solution \: :`

The given expression is :

`\qquad \tt \rightarrow \: |b + 1| + 8`

`\qquad \tt \rightarrow \: |b| + 1 + 8`

[ as 1 is a positive number, it can come out of modulus function as it is ]

`\qquad \tt \rightarrow \: |b| + 9`

Now, there are two cases possible.

Case 1 :

`\qquad \tt \rightarrow \: b + 9`

[ if b is a positive number, it will come out of modulus as it is ]

Case 2 :

`\qquad \tt \rightarrow \: - b + 9`

[ if b is a negative number, it will come out of modulus with a negative sign, to make the overall term out of modulus positive ]

Answered by : ❝ AǫᴜᴀWɪᴢ ❞