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.

-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.

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

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Step-by-step explanation: