Question

solve the inequality and graph the solution.
2 + 2u ≤ -2
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 2 from both sides

$$2 + 2u-2\leq -2 - 2$$
$$2u\leq -4$$

Step2: Divide both sides by 2

$$\frac{2u}{2}\leq\frac{-4}{2}$$
$$u\leq - 2$$

To graph \(u\leq - 2\):

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

Answer:

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