Question

which number line shows the solution to the inequality? 3p + 4 < 10

Explanation:

Step1: Solve the inequality

Solve $3p + 4<10$. Subtract 4 from both sides: $3p<10 - 4$, so $3p<6$. Then divide both sides by 3: $p < 2$.

Step2: Analyze number - line representation

For $p < 2$, the number - line should have an open circle at 2 (because 2 is not included in the solution set) and the line should extend to the left of 2.

Answer:

The number - line with an open circle at 2 and the line extending to the left of 2.