Question

solve the inequality and graph the solution.
-1 ≥ (v/2) + 1
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.
(number line from -5 to 5 with ticks at -5, -4, -3, -2, -1, 0, 1, 2, 3, 4, 5)
submit

Explanation:

Step1: Subtract 1 from both sides.

$-1 -1 \geq \frac{v}{2} + 1 -1$
$-2 \geq \frac{v}{2}$

Step2: Multiply by 2 on both sides.

$-2 \times 2 \geq \frac{v}{2} \times 2$
$-4 \geq v$ or $v \leq -4$

Step3: Graph the solution.

On the number line, mark a closed dot at $-4$ (since the inequality includes equality) and draw a ray pointing to the left (to represent all values less than or equal to $-4$).

Answer:

$v \leq -4$
Graph: Closed endpoint at $-4$, ray extending left.