Question

solve the inequality and graph the solution.
1 > \frac{v}{-3} - 1
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.
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Explanation:

Step1: Add 1 to both sides

$$1 + 1>\frac{v}{-3}-1 + 1$$
$$2>\frac{v}{-3}$$

Step2: Multiply both sides by -3 and reverse the inequality sign

When multiplying or dividing an inequality by a negative number, the inequality sign flips.
$$2\times(-3)<\frac{v}{-3}\times(-3)$$
$$-6 < v$$

Answer:

The solution of the inequality is \(v>-6\). To graph it, plot an open circle at \(-6\) (because the inequality is strict, \(v\) is not equal to \(-6\)) and draw an arrow to the right.