Question

solve the inequality and graph the solution. -4(v + 6) + 1 ≥ 9 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: Expand the left - hand side

-4(v + 6)+1=-4v-24 + 1=-4v-23. So the inequality becomes -4v-23≥9.

Step2: Add 23 to both sides

-4v-23 + 23≥9 + 23, which simplifies to -4v≥32.

Step3: Divide both sides by -4 and reverse the inequality sign

Since we are dividing by a negative number, the inequality sign flips. So v≤-8.

Answer:

The solution of the inequality is v≤-8. On the number - line, we plot a closed circle at -8 (because the inequality is ≤) and draw a ray to the left of -8.