Question

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

1. 0 > 3x - 3 - 6

Explanation:

Step1: Simplify the right - hand side

Combine like terms in $3x - 3-6$. We get $3x-9$. So the inequality becomes $0>3x - 9$.

Step2: Isolate the variable term

Add 9 to both sides of the inequality. $0 + 9>3x-9 + 9$, which simplifies to $9>3x$.

Step3: Solve for x

Divide both sides of the inequality by 3. $\frac{9}{3}>\frac{3x}{3}$, so $3>x$ or $x < 3$.

Answer:

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