Question

part 2 of 2
solve the inequality. graph the solution
-5(3x - 3) > - 45
choose the correct graph below

Explanation:

Step1: Divide both sides by -5

When dividing an inequality by a negative number, the direction of the inequality sign changes. So, $\frac{-5(3x - 3)}{-5}<\frac{- 45}{-5}$, which simplifies to $3x-3 < 9$.

Step2: Add 3 to both sides

Adding 3 to both sides of $3x - 3<9$ gives $3x-3 + 3<9 + 3$, which simplifies to $3x<12$.

Step3: Divide both sides by 3

Dividing both sides of $3x<12$ by 3, we get $\frac{3x}{3}<\frac{12}{3}$, so $x < 4$.
The solution set is all real numbers less than 4. On a number - line, this is represented by an open - circle at 4 (since 4 is not included in the solution set) and an arrow pointing to the left.

Answer:

B. (assuming option B is the number - line with an open - circle at 4 and an arrow pointing to the left)