Question

solve the inequality and graph the solution.
\\(\frac{u - 12}{-2}<3\\)
plot the endpoints. select an endpoint to change it from closed to open. select the middle of the segment, ray, or line to delete it.

Explanation:

Step1: Multiply both sides by -2

When multiplying an inequality by a negative number, the direction of the inequality sign changes. So we have $u - 12>3\times(- 2)$.
$u - 12>-6$

Step2: Add 12 to both sides

Adding 12 to both sides isolates the variable $u$. So $u>-6 + 12$.
$u>6$

Answer:

The solution of the inequality is $u>6$. On the number - line, we use an open - circle at $6$ (because $u$ is strictly greater than 6, not equal to 6) and draw a ray to the right of 6.