Question

solve the inequality and graph the solution.
y - 47 ≤ -43
to draw a ray, plot an endpoint and select an arrow. select an endpoint to change it from closed to open. select the middle of the ray to delete it.

Explanation:

Step1: Isolate the variable y

Add 47 to both sides of the inequality $y - 47\leq - 43$.
$y-47 + 47\leq-43 + 47$

Step2: Simplify the right - hand side

$y\leq4$

To graph the solution on the number line:

• The endpoint is at $y = 4$. Since the inequality is $\leq$, the endpoint is a closed circle.
• The ray extends to the left (towards smaller values of y) because all values of y that are less than or equal to 4 satisfy the inequality.

Answer:

The solution of the inequality is $y\leq4$. On the number line, plot a closed circle at 4 and draw a ray extending to the left.