Question

1. what does the solution to the inequality 3x - 4 < 5 look like on a number line? a. open circle at 9/3, shading to the left b. closed circle at 9/3, shading to the left c. open circle at 3/9, shading to the right d. open circle at 3, shading to the left

Explanation:

Step1: Solve the inequality

$3z - 4 < 5$, add 4 to both sides: $3z<5 + 4$, so $3z<9$. Then divide both sides by 3: $z < 3$.

Step2: Analyze number - line representation

For $z < 3$, use an open - circle at 3 (since $z$ cannot equal 3) and shade to the left.

Answer:

E. Open circle at 3, shading to the left