Question

Question :1
a) Solve the following inequation and represent the solution set on a number line :
3x-5 < x+3 < 5x-9; XER.
[3 m)​

Answer 1

Answer:

$taking \: first \: and \: second \\ 3x - 5 < x + 3 \\ 3x - x < 3 + 5 \\ 2x < 8 \\ x < 4 \\ \\ taking \: second \: and \: third \: pair \\ x + 3 < 5x - 9 \\ x - 5x < - 9 - 3 \\ - 4x < - 12 \\ x > 3 \\ so \: solution \: set \: is \: 3 < x < 4.$