Maths-

General

Easy

Question

# Rachel multiplied each side of X≥2 by 3. She wrote the result as 3X≤ 6. Explain the error Rachel made.

Hint:

### When you multiply an inequality by a positive number, the inequality sign does not change its direction.

We are asked to find the error that Rachel has made in the inequality.

## The correct answer is: That is the error that Rachel has done.

### Step 1 of 1:

The given inequality isx≥2 . Here, Rachel multiplies the inequality by 3; which is a positive number.

Thus, we get:3x ≥ 6. Since the multiplication is done by a positive number, the direction of the inequality does not change. That is the error that Rachel has done.

We change the direction of inequality only when we multiply or divide it by a negative number.

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