Algebra Function Questions, homework help

I have listed three function questions below. Each has the explanation and answer. Please explain in more detail and depth. Thank you.

Solve for v and graph the solution.
IV – 51 < 5 Click two endpoints to graph a line segment, an endpoint and an arrowhead to graph a ray, or two arrowheads to graph a line. To change endpoints from filled-in circles to empty circles, click on them. 1 2 3 5 6 7 8 9 10 11 12 You answered: + 0 1 2 3 4 6 7 8 9 10 11 12 If a > 0, then |x a, which has a solution of x < -a or x > a.
Look at the inequality.
IV – 51 < 5 Since v - 5 can be either positive or negative, split the inequality into two cases. positive negative V-5 < 5 and (v - 5) < 5 First, solve the positive case. V-5 < 5 v < 10 Add 5 to both sides Next, solve the negative case. -(v - 5) < 5 -V + 5 < 5 Apply the distributive property -V < 0 Subtract 5 from both sides V > 0
Multiply both sides by – 1 and reverse the direction of the inequality symbol
Now, see if the two inequalities can be combined into a single statement. The variable v is less
than 10 and greater than 0, which means it is between the two values. Write the solution as a
single statement
0