Question

Describe and correct the error

Answer 1

nothing wrong here

Explanation:

imagine x is between -2 and -3. then -2x should be bigger than 4 and smaller than 6, and cant be equal to 4 or 6. thus all of the equations are correct

Answer 2

Let's analyze and correct the error.

1. Start with the given expression: X 4<-2x +3<9.

2. To solve this inequality, we'll start by subtracting 3 from all parts of the inequality: X + 4 - 3 < -2x + 3 - 3 < 9 - 3.

3. Simplify the inequality: X + 1 < -2x < 6.

4. Next, we want to isolate the variable x, so we divide the entire inequality by -2. However, it's important to note that dividing by a negative number will reverse the inequality signs.

5. Divide all parts of the inequality by -2: (X + 1)/-2 > -2x/-2 > 6/-2.

6. Simplify the inequality: -(X + 1)/2 < x < -3.

The correct solution to the inequality is: -(X + 1)/2 < x < -3.

This means that x lies between -(X + 1)/2 and -3 on the number line. It's important to note that without specific values for X, we cannot determine a specific numerical range for x. The solution will vary depending on the value of X.