inequality

0.75x>3

Multiply both sides of the inequality by 4/3 if you want to know what x is.

from where did you get 4/3 to multiply to find x. How do you know that?

MULTIPLY BOTH SIDES BY 4/3

The 4/3 comes from dividing both sides of the equation by 0.75 or 3/4. To divide by a fraction means to multiply by its reciprocal. Hence, to divide each side by 3/4 (0.75) means to multiply by 4/3 which is the reciprocal.

To explain further, in the inequality 0.75x > 3, you want to find the value of x. The goal is to isolate x on one side of the inequality sign.

To cancel out the coefficient 0.75 on the left side, you need to multiply both sides of the inequality by the reciprocal of 0.75, which is 4/3.

By multiplying both sides by 4/3, you are actually performing the inverse operation of division. On the left side, the 0.75 and 4/3 cancel each other out, leaving you with just x. On the right side, you have 3 multiplied by 4/3, which equals 4.

So, when you multiply both sides of the inequality by 4/3, you get:

(4/3)(0.75x) > (4/3)(3)
x > 4

Therefore, the solution to the inequality is x > 4.