Question

solve $p + 4 < 10$. the solution of the inequality is \boxed{}. graph the solution.

Explanation:

Step1: Subtract 4 from both sides

To solve the inequality \( p + 4 < 10 \), we subtract 4 from both sides of the inequality. This is based on the property of inequalities that allows us to add or subtract the same number from both sides without changing the direction of the inequality. So we have:
\( p + 4 - 4 < 10 - 4 \)

Step2: Simplify both sides

Simplifying the left - hand side, \( p+4 - 4=p \). Simplifying the right - hand side, \( 10 - 4 = 6 \). So the inequality becomes \( p<6 \).

Answer:

\( p < 6 \)

For graphing the solution \( p < 6 \) on the number line: We use an open circle at 6 (because the inequality is strict, \( p\) is not equal to 6) and draw an arrow to the left (indicating all numbers less than 6). Among the given graph options, the "open circle at 6 with an arrow to the left" (or the "←∘" - like symbol if we consider the given icons, more precisely the icon with an open circle and an arrow pointing to the left starting from 6) represents the solution. But since the main part of the question was to solve the inequality, the solution of the inequality is \( p < 6 \).