Solve for $$ p $$ $$ \begin{array}{l}2 p+32(p-3) \ \text { o } p-9 \ \text { all real numbers } \ \text { no solution }\end{array} $$

Question

Solve for $$ p $$ $$ \begin{array}{l}2 p+3>2(p-3) \ \text { o } p>-9 \ \text { all real numbers } \ \text { no solution }\end{array} $$

UpStudy AI · Accepted Answer

Let's solve the inequality step by step:

$$
2p + 3 > 2(p - 3)
$$

1. **Expand the right-hand side:**
   $$
   2p + 3 > 2p - 6
   $$

2. **Subtract $$2p$$ from both sides to eliminate the $$p$$ terms:**
   $$
   3 > -6
   $$

3. **Interpret the result:**
   $$
   3 > -6
   $$
   This statement is always true, regardless of the value of $$p$$.

**Conclusion:**
Since the inequality holds true for all real numbers $$p$$, the solution is:

**All real numbers**
All real numbers

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