Question

solve the inequality. -3 ≤ 1 - 8v solution: -0.5 graph the solution.

Explanation:

Step1: Isolate variable - subtract 1

Subtract 1 from both sides of the inequality: $-3 - 1\leq1 - 8v-1$.
This simplifies to $-4\leq - 8v$.

Step2: Solve for v - divide by -8

Divide both sides by - 8. When dividing an inequality by a negative number, the direction of the inequality sign changes. So, $\frac{-4}{-8}\geq\frac{-8v}{-8}$.
This gives $v\leq0.5$.

Answer:

The solution of the inequality is $v\leq0.5$. On the number - line, we represent this by shading all the values to the left of and including 0.5. We use a closed circle at 0.5 to indicate that 0.5 is part of the solution set.