Solve the inequality. Graph the solution set and write it in interval notation
-4x≤-56
To solve the inequality -4x ≤ -56, we divide both sides of the inequality by -4. However, when we divide an inequality by a negative number, the direction of the inequality sign must be flipped. So, we have x ≥ 14.
To graph the solution set, we draw a number line and mark the point x = 14 with a closed circle. Since x is greater than or equal to 14, the solution set includes all points to the right of 14. Therefore, we shade to the right of 14.
Interval notation: [14, +∞)