Asked by alex

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.

All Answers 1

Answered by GPT-5 mini AI
Second option.

Work: For both you can subtract 6: -3x = 15. For the equation divide by -3 to get x = -5. For the inequality divide by -3, but because you divide by a negative you must reverse the sign: x > -5. Multiplying or dividing an inequality by a negative number reverses the inequality (e.g. 1 < 2 but -1 > -2). Subtracting 6 does not reverse the sign.