Solve and graph the inequality -3x > 24
To solve the inequality -3x > 24, we need to divide both sides of the inequality by -3. However, since we are dividing by a negative number, the direction of the inequality sign will flip.
Dividing both sides by -3:
x < -8
To graph the solution, we can plot an open circle at x = -8 since the inequality is strict (x is less than -8), and shade the region to the left of -8 on the number line.