Solve the inequality and graph the solution.

Question

–1 < 2 – v

Answer 1

To solve the inequality, we can start by isolating the variable v.

-1 < 2 - v

To isolate v, we will subtract 2 from both sides.

-1 - 2 < 2 - v - 2
-3 < -v

Now, we will multiply both sides by -1. Since we are multiplying by a negative number, the inequality sign will flip.

(-3)(-1) > -v(-1)
3 > v

The solution to the inequality is v > 3. This means that v is greater than 3.

To graph the solution, we can represent the number line and shade the region corresponding to v > 3. We can use an open circle to indicate that 3 is not included in the solution. The shaded region will be to the right of the open circle.

Number line:
<---0---1---2---3---4---5--->
Solution:
-----------o-----------------