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.

Both students are wrong.

The correct solution to the inequality -4 > x - 7 is x < 3

The given inequality is -4  >  x  -  7

To solve the inequality -4 > x - 7, follow the steps below

Add 7 to both sides of the inequality

--4  +  7   >  x  -  7  +  7

3    >  x

This can be re-written as:

x  < 3

The two students got 28 < x and x > 28 which is different from x < 3 (the true solution). Therefore, they both are incorrect

Learn more on inequalities here: link