Question

X-4 <2x -1 < 3x - 3
solve this inequality and find the value of x in inequality​

Answer 1

x - 4 < 2x - 1 < 3x - 3

=> x - 4 + 1 < 2x < 3x - 3 + 1

=> x - 3 < 2x < 3x - 2

We can write and solve it as two equations:

Equation 1: x - 3 < 2x

Equation 2: 2x < 3x - 2

Solve equation 1:

-3 < x

Solve equation 2:

x < 2

Thus, we get:

-3 < x < 2