Question

kuta software - infinite algebra 2
solving inequalities
solve each inequality and graph its solu

1. 0 > 3x - 3 - 6

Explanation:

Step1: Simplify the right - hand side

First, simplify $3x−3 - 6$ to $3x - 9$. So the inequality becomes $0>3x - 9$.

Step2: Add 9 to both sides

Adding 9 to both sides of the inequality $0>3x - 9$ gives $9>3x$.

Step3: Divide both sides by 3

Dividing both sides of $9>3x$ by 3, we get $3>x$, which can also be written as $x < 3$.

Answer:

The solution of the inequality is $x < 3$. On the number - line, we draw an open circle at 3 (because 3 is not included in the solution) and shade the line to the left of 3.