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1. If a < b, then -a > -b. Why?
2. What is the inherent meaning and justification of cross-multiplication as it applies to solving an inequality?
3. How can you differentiate between a function and an equation?
4. Give an example of a mixture type of problem along with the answer.

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The solution differentiates between a function and an equation.

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1. If a < b, then -a > -b. Why?

Solution:

a < b

we can write it as

a - b < 0

Now add (-a) to each side

a - b + (-a) < -a

combine similar terms, we will get

-b < -a

We can write it as

-a > -b

The sign of inequality changes when both sides of an equation are multiplied or divided by a negative number because we will get the inequality -a> -b by multiplying or dividing the inequality a < b by -1.

2. What is the ...

Solution provided by:
Sandhya Sharma, MSc
Education
  • BSc, Meerut University
  • MSc, Meerut University
  • MPhil, Institute of Advanced Studies
  • MSc, AIT
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