Question

graph the solution to the given inequality: - 4.75 > 4 - 2.5y

Explanation:

Step1: Isolate the variable y

First, subtract 4 from both sides of the inequality $- 4.75>4 - 2.5y$.
$-4.75-4>4 - 2.5y-4$
$-8.75>-2.5y$

Step2: Solve for y

Divide both sides of the inequality by - 2.5. Remember that when dividing an inequality by a negative number, the direction of the inequality sign changes.
$\frac{-8.75}{-2.5}<\frac{-2.5y}{-2.5}$
$3.5 < y$ or $y>3.5$

Step3: Graph the solution

On the number - line, since $y > 3.5$, we use an open circle at 3.5 (because 3.5 is not included in the solution) and draw an arrow to the right to represent all values of y greater than 3.5.

Answer:

Graph an open circle at 3.5 on the number - line and draw an arrow to the right.