Answer:
p = [tex]-\frac{15}{2}[/tex], p = [tex]\frac{17}{2}[/tex]
Step-by-step explanation:
1. Subtract 15 from both sides:
- |2p -1| = -16
2. Divide both sides by -1:
[tex]\frac{-|2p - 1|}{-1} = \frac{-16}{-1}[/tex]
|2p - 1| = 16
3. Apply the absolute value rule (If |u| = a, a > 0, then u = a, or u = -a)
2p - 1 = 16 or 2p - 1 = -16
4. Solve for the positive and negative intervals:
2p - 1+1 = 16+1
2p = 17
[tex]\frac{2p}{2} = \frac{17}{2}[/tex]
p = [tex]\frac{17}{2}[/tex]
2p - 1+1 = -16+1
2p = -15
[tex]\frac{2p}{2} = \frac{-15}{2}[/tex]
p = [tex]\frac{-15}{2}[/tex]
hope this helps!
