try this it will definately help you, in understanding the linear in - equation..
Solve the given:
i. 7 - 2x > - 11 ;
ii. -5x + 4 ≤ 2x - 10 ;
iii. -3 ≤ 2x + 1 < 7 ;
Solutions
i. 7 - 2x > -11
-(2x) > -18 (by using subtraction rule)
-(2x)/-2 < -18/-2 (by using division rule)
X < 9
ii. -(5x) + 4 < 2x -10
-(7x) + 4 < -10 (by using subtraction rule)
-(7x) < -14 (by using subtraction rule)
X > 2 (by using division rule)
iii. -3 < 2x + 1 < 7
-4 < 2x < 6 (by using subtraction rule)
-2x < x < 3 (by using division rule)