Question

solve the inequality and graph the solution. 56 > 28a plot the endpoints. select an endpoint to change it from closed to open. select the middle of the segment, ray, or line to delete it.

Explanation:

Step1: Isolate the variable a

Divide both sides of the inequality $56>28a$ by 28. Since 28 is positive, the direction of the inequality sign remains the same. So, $\frac{56}{28}>\frac{28a}{28}$, which simplifies to $2 > a$ or $a<2$.

Step2: Graph the solution

The solution of the inequality $a < 2$ is all real - numbers less than 2. On the number - line, we represent this by an open circle at 2 (because 2 is not included in the solution set, since the inequality is strict) and an arrow pointing to the left.

Answer:

The solution of the inequality is $a < 2$. On the number - line, place an open circle at 2 and draw an arrow to the left.