Question

One student solved the inequality −4 > x −7 and got 28 < x. Another student solved the inequality and got x > 28. Are they both correct? Explain.

Answer 1

Answer:

solutions are the same, just written differently,    inequality sign is reversed when multiplying by a negative. Yes, both students are correct. When multiplying by –7, the inequality symbol+ is reversed. The answers are the same, just written differently. In each case, the variable, x, is by itself. Both solutions say that x is the larger expression.  

Answer 2

-4 > x -7

Move the "-7" to the left hand side which will also change the sign
-4 + 7 > x ( "-4 + 7" is the same as "7 - 4")

3 > x OR x < 3 (3 is greater/bigger than x which also means x is smaller/lesser than 3)

They are both incorrect.