Item 14 A student solves the inequality −6v>42. Each step in the student's solution is shown below. Identify where the student made any errors.

Step-by-step explanation:

Given the inequality solved by a student expressed as:

-6v>42

To get v, follow the simple steps

Step 1: multiply both sides by -1

-6v>42

-1(-6v)<-1(42)

6v < 42 (Note that when you multiply both sides of an inequality by a negative sign, the inequality sign will change)

Step 2: Divide through by 6

6v < 42

6v/6 < 42/6

v < 7

Hence the range of values of v are the values of v less than 7

Since we are not  given the options, you can compare the solution given with that of the student to figure out the error. The major error that may happen is the different not changing the inequality sign after multiplying or dividing with a negative value as shown.

47/15 in its simplest form would be 2/15