Question

solve the inequality and graph the solution. 35y + 62 < -78. 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 term

Subtract 62 from both sides of the inequality $35y + 62 < - 78$.
$35y+62 - 62<-78 - 62$
$35y<-140$

Step2: Solve for y

Divide both sides of the inequality by 35. Since 35>0, the direction of the inequality sign remains the same.
$\frac{35y}{35}<\frac{-140}{35}$
$y < - 4$

To graph the solution on the number - line:

1. Plot an open circle at - 4 (because the inequality is $y < - 4$, not $y\leqslant - 4$).
2. Draw a ray to the left of - 4 to represent all the values of y that are less than - 4.

Answer:

The solution of the inequality is $y < - 4$. On the number - line, there is an open circle at - 4 and a ray extending to the left.