Question

solve for p. 12p + 17 ≥ -16 + 8p - 11 write your answer with p first, followed by an inequality symbol.

Explanation:

Step1: Simplify the right - hand side

First, combine like terms on the right - hand side of the inequality: $-16-11=-27$, so the inequality becomes $12p + 17\geq8p-27$.

Step2: Move the terms with $p$ to one side

Subtract $8p$ from both sides: $12p-8p + 17\geq8p-8p-27$, which simplifies to $4p + 17\geq - 27$.

Step3: Move the constant to the other side

Subtract 17 from both sides: $4p+17 - 17\geq - 27-17$, resulting in $4p\geq - 44$.

Step4: Solve for $p$

Divide both sides by 4: $\frac{4p}{4}\geq\frac{-44}{4}$, so $p\geq - 11$.

Answer:

$p\geq - 11$