Question

solve the inequality and graph the solution.

5y - 4 ≥ 6

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: Add 4 to both sides

$$5y-4 + 4\geq6 + 4$$
$$5y\geq10$$

Step2: Divide both sides by 5

$$\frac{5y}{5}\geq\frac{10}{5}$$
$$y\geq2$$

To graph \(y\geq2\):

• Plot a closed circle at \(y = 2\) (because the inequality is \(\geq\), so 2 is included in the solution set).
• Draw an arrow to the right (since \(y\) is greater than or equal to 2).

Answer:

The solution of the inequality \(5y - 4\geq6\) is \(y\geq2\). On the number - line, we have a closed circle at \(2\) and an arrow pointing to the right.