Question

1. solve the inequality. please graph the solution in the space provided. type a response ( v - 2 geq 10 )

Explanation:

Step1: Add 2 to both sides

To solve the inequality \( v - 2 \geq 10 \), we add 2 to both sides of the inequality. This is based on the addition property of inequalities, which states that if we add the same number to both sides of an inequality, the direction of the inequality remains the same.
\[
v - 2 + 2 \geq 10 + 2
\]

Step2: Simplify both sides

Simplifying the left - hand side, \( v-2 + 2=v \). Simplifying the right - hand side, \( 10 + 2 = 12 \). So we get \( v\geq12 \).

Answer:

The solution to the inequality \( v - 2\geq10 \) is \( v\geq12 \). To graph this on the number line, we draw a closed circle at 12 (since the inequality is "greater than or equal to") and shade the line to the right of 12.