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Chapter 2: Q. 373 (page 186)

Explain why it is necessary to reverse the

inequality when solvingn-3<12

Short Answer

Expert verified

An inequality equation multiplying or dividing with negative number inequality sign must be changed

Then only it becomes correct statement.

Step by step solution

01

Step 1. Given information

The inequality:n-3<12

02

Step 2. Explanation

We have,

n-3<12=-3脳n-3>12脳-3multiplybothsideswith-3=n>-36dividethenumbers

An inequality equation multiplying or dividing with negative number inequality sign must be changed.

An inequality equation multiplying or dividing with negative number inequality sign must be changed.

When we multiply both sides by a negative value we make the side that is greater have a bigger negative number, which actually means it is now less than the other side.

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