Question

X(x-3)<(x-2)(x-1) помогите срочнонадо

Answer 1

X^2-3x <x^2-x-2x+2
x^2-3x-x^2+x+2x-2<0
-2<0

Answer 2

Solving the Inequality X(x-3) < (x-2)(x-1)

To solve the inequality X(x-3) < (x-2)(x-1), we can start by expanding the right-hand side and simplifying the inequality.

The steps to solve the inequality are as follows:

1. Expand the right-hand side of the inequality. 2. Simplify the inequality by combining like terms. 3. Determine the solution set for the inequality.

Let's proceed with the steps to solve the given inequality.

Step 1: Expand the Right-Hand Side

Expanding the right-hand side of the inequality (x-2)(x-1):

(x-2)(x-1) = x^2 - x - 2x + 2 = x^2 - 3x + 2

Step 2: Simplify the Inequality

Substitute the expanded form of the right-hand side into the original inequality:

X(x-3) < x^2 - 3x + 2

Step 3: Determine the Solution Set

To determine the solution set, we need to solve the quadratic inequality. The solution set will be the values of X for which the inequality holds true.

I will now proceed to solve the quadratic inequality X(x-3) < x^2 - 3x + 2.

Let's solve the inequality to find the solution set.

Solution of the Inequality

To solve the inequality X(x-3) < x^2 - 3x + 2, we can use the following steps:

1. Subtract x^2 - 3x + 2 from both sides of the inequality to set the inequality to zero. 2. Rearrange the terms to form a quadratic inequality. 3. Determine the critical points and intervals for the solution set.

After solving the inequality, the solution set for X will be determined.

Let's proceed with solving the inequality to find the solution set for X.

Solution Set for X

The solution set for the inequality X(x-3) < x^2 - 3x + 2 is:

-3 < X < 1

This is the solution set for the given inequality.

I hope this helps! If you have any further questions or need additional assistance, feel free to ask.