To solve the inequality, we can start by multiplying both sides of the inequality by cănx + 2 to eliminate the denominator:

(cănx + 2)(2cănx - 3)/(cănx + 2) < 2

Simplifying, we get:

2cănx - 3 < 2(cănx + 2)

Expanding the right side, we have:

2cănx - 3 < 2cănx + 4

Subtracting 2cănx from both sides, we get:

-3 < 4

Since -3 is less than 4, the inequality is true for all values of cănx. Therefore, the solution to the inequality is cănx can be any real number.