Question

solve the inequality and graph the solution, 1 + 4y ≤ 9. 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 term with y

Subtract 1 from both sides of the inequality $1 + 4y\leq9$.
$1+4y - 1\leq9 - 1$
$4y\leq8$

Step2: Solve for y

Divide both sides of the inequality $4y\leq8$ by 4.
$\frac{4y}{4}\leq\frac{8}{4}$
$y\leq2$

Step3: Graph the solution

On the number - line, plot a closed circle at 2 (because the inequality is $\leq$, so 2 is included in the solution set) and draw an arrow to the left to represent all the values less than or equal to 2.

Answer:

The solution of the inequality is $y\leq2$. On the number - line, there is a closed circle at 2 and an arrow pointing to the left.