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whitesoxlady
With inequalities, you can solve as if there is an equal sign. Because there are the “absolute value” bars, it means that the result of what’s inside cannot be negative. So if it is negative, just write as a positive number. Such as: 6p+3=15 so 6p=12 and finally p=12/6 or really p>2

The value of p for the for given absolute value inequality |6p + 3|>15 lies in between - 3 and 2.

What is absolute value inequality?

An absolute value inequality is an expression with absolute functions as well as inequality signs.

According to the given question.

We have an absolute value inequality |6p + 3| > 15

The above inequality can be written as

[tex]-15 < 6p+3 < 15[/tex]

⇒ [tex]-15-3 < 6p < 15-3[/tex]

⇒[tex]-18 < 6p < 12[/tex]

⇒[tex]\frac{-18}{6} < p < \frac{12}{6}[/tex]

⇒[tex]-3 < p < 2[/tex]

⇒ p ∈ (-3, 2)

Hence, the value of p for the given absolute value inequality |6p + 3|>15 lies in between - 3 and 2.

Find out more information about absolute value  inequality here:

https://brainly.com/question/18482374

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