Question

solve the inequality and graph the solution.
11a + 16 ≤ -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: Subtract 16 from both sides

$$11a+16 - 16\leq - 6-16$$
$$11a\leq - 22$$

Step2: Divide both sides by 11

$$\frac{11a}{11}\leq\frac{-22}{11}$$
$$a\leq - 2$$

To graph the solution:

• Plot a closed endpoint at \(a = - 2\) (since the inequality is \(\leq\), the endpoint is included).
• Draw an arrow to the left (because \(a\) is less than or equal to \(-2\))

Answer:

The solution of the inequality \(11a + 16\leq - 6\) is \(a\leq - 2\). On the number - line, we have a closed circle at \(-2\) and an arrow pointing to the left.