Question

solve the inequality and graph the solution. 4(n - 2) < 8 plot the endpoints. select an endpoint to change it from closed to open. select the middle of the segment, ray, or line to delete it.

Explanation:

Step1: Expand the left - hand side

$4(n - 2)=4n-8$, so the inequality becomes $4n - 8<8$.

Step2: Add 8 to both sides

$4n-8 + 8<8 + 8$, which simplifies to $4n<16$.

Step3: Divide both sides by 4

$\frac{4n}{4}<\frac{16}{4}$, so $n < 4$.

Answer:

The solution of the inequality is $n < 4$. On the number - line, an open circle is placed at $n = 4$ and the line extends to the left of 4.