Look at the two equations: 3x + 6 = 21 3x + 6 < 21 Which statement best describes the process used to solve the equations? In both cases, subtract 6 from both sides, but reverse the inequality sign when doing that for the inequality. In both cases, divide by –3 on both sides, but reverse the inequality sign when doing that for the inequality. The process is exactly the same for solving the equation and solving the inequality. The process for solving the equation is entirely different from solving the inequality.

C. The process is exactly the same for solving the equation and solving the inequality.

Step-by-step explanation:

We have the equation 3x + 6 = 21 and the inequality 3x + 6 < 21.

Now when solving inequalities, the process is actually very similar - practically the same, except when the coefficient of x (or whatever variable is used) is negative. In that case, when isolating the variable, the inequality will have to be reversed.

Here, however, the coefficient of x is 3, which is positive, so our inequality can stay. That means that the method of solving for the equation and inequality is exactly the same.

Thus, the answer is C.

Third option:

The process is exactly the same for solving the equation and solving the inequality.

Step-by-step explanation:

3x + 6 = 21

Subtract 6 from both sides

3x = 15

Divide both sides by 3

x = 15/3

x = 5

3x + 6 < 21

Subtract 6 from both sides

3x < 15

Divide both sides by 3

x < 15/3

x < 5

40 is the final : )