Question

Explain the difference between solving 2x < 7 and solving -2x < 7 .

Answer 1

You can simply the above equation
1. 2x<7 = x<3.5 which means in order to satisfy the above notation the value of x has to be less that 3.5
2. -2x<7 = x<-3.5 it means in order to satisfy this notation the value of x has to be more than 3.5 in magnitude having - sign ..

Answer 2

When solving inequalities, dividing by a negative number requires you to fliip the sign.

So to solve 2x < 7 you simply divide by 2

x < 7/2

However with -2x < 7, you have to flip the sign

x > -7/2