Question

solve the inequality and graph the solution.
7 > 2a + 3
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: Subtract 3 from both sides

$$7-3>2a+3 - 3$$
$$4>2a$$

Step2: Divide both sides by 2

$$\frac{4}{2}>\frac{2a}{2}$$
$$2>a$$
Which can be rewritten as \(a < 2\).

To graph the solution:

• The inequality \(a < 2\) has an open - circle at \(a = 2\) (because the inequality is strict, i.e., \(a\) is not equal to 2).
• The ray extends to the left (towards the negative infinity) since \(a\) is less than 2.

Answer:

The solution of the inequality is \(a < 2\). On the number - line, there is an open circle at \(2\) and a ray extending to the left.