Question

n 3.2
solution.

1. $16 + p \geq 14$

Explanation:

Step1: Isolate the variable \( p \)

To solve the inequality \( 16 + p \geq 14 \), we subtract 16 from both sides of the inequality.

$$ 16 + p - 16 \geq 14 - 16 $$

Step2: Simplify both sides

Simplifying the left side gives \( p \), and simplifying the right side gives \( -2 \). So we have:

$$ p \geq -2 $$

To graph this on the number line, we draw a closed circle at \( -2 \) (because the inequality is "greater than or equal to") and shade to the right.

Answer:

The solution to the inequality \( 16 + p \geq 14 \) is \( p \geq -2 \), and on the number line, we represent it with a closed circle at \( -2 \) and an arrow pointing to the right.