Question

Solve the inequality –2 < 4x – 10 < 6

Answer 1

-2 +10 < 4x - 10 + 10 < 6 + 10
8<4x<16

2<x<4

(divided by 4)

Answer 2

consider –2 < 4x – 10 ,
4x-10>-2
4x>8
x>2

and
consider
4x – 10 < 6
4x<16
x<4

from the above, x>2 and x<4
therefore, the ans is 2<x<4

Answer 3

thanks guys! i'm just trying to make sure i'm doing this right & checking my answers ^.^

Answer 4

You are welcome. It is quite sad if we know how to do but do it wrong simply because of tiny mistakes.