Choose the correct solution and graph for the inequality. -4x < - 12

Answer 1

To solve the inequality -4x < -12, we need to divide both sides of the inequality by -4. However, when dividing an inequality by a negative number, we need to reverse the direction of the inequality symbol.

Dividing both sides of the inequality by -4, we have:
x > 3

Thus, the correct solution to the inequality is x > 3.

To graph this solution, we need to draw an open circle at the point x = 3 on a number line, and shade the region to the right of that point.

Here is the graph of the solution on the number line:

-∞ ---------o--------> 3 ---------o--------> ∞
x > 3