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QUESTION IMAGE

solve the inequality and graph the solution. \\(\\frac{u}{-1}>3\\) plot…

Question

solve the inequality and graph the solution.
\\(\frac{u}{-1}>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: Simplify the inequality

Multiply both sides by -1. When multiplying an inequality by a negative number, the inequality sign flips. So $\frac{u}{-1}>3$ becomes $u < - 3$.

Step2: Graph the solution

The solution $u < - 3$ is an open - ended interval. On the number line, we use an open circle at $u=-3$ (because $u$ cannot equal - 3) and draw a ray to the left.

Answer:

The solution of the inequality is $u < - 3$. On the number line, place an open circle at - 3 and draw a ray to the left.