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.

To solve these two equations, you need to isolate/get the variable "x" by itself in the equation.

-3x + 6 = 21

-3x + 6 < 21

Option 1: In both cases, subtract 6 from both sides, but reverse the inequality sign when doing that for the inequality.

You can subtract 6 in both equations, but you don't reverse the inequality sign when you subtract.

Option 2: In both cases, divide by -3 on both sides, but reverse the inequality sign when doing that for the inequality.

You can divide -3 on both sides because all the numbers can be divided by 3, and you do reverse the inequality sign (when you multiply/divide a negative number to both sides of the inequality, you reverse the inequality sign)

Option 3: The process is exactly the same for solving the equation and solving the inequality.

Not exactly the same because you have to reverse the inequality sign as you are dividing by a negative number

Option 4: The process for solving the equation is entirely different from solving the inequality.

Not entirely different because the only difference is reversing the inequality sign

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this is a very good question

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