Linear Inequations

Question 1

How is a linear equation in one variable written?

Answer 1

ax + b < 0; ax + b ≤ 0; ax + b > 0; ax + b ≥ 0

Question 2

Name the things you can do to an inequation

Answer 2

1. Add or subtract the same number or expression to both sides
2. Any number or expression can be transported from one side to the other side with the sign changed
3. Multiply or divide both sides by the same positive no.

Question 3

What happens when both sides are multiplied or divided by the same negative number?

Answer 3

The symbol of the inequation is reversed

Question 4

Give the steps of solving a linear inequation

Answer 4

1. Simplify both sides by removing group symbols and collecting like terms
2. Remove fractions or decimals by multiplying both sides by LCM of denominators or power of 10
3. Isolate all variable terms on one side and constants on the other
4. Make the coefficient of the variable 1
5. Choose the solution set from the replacement set

Question 5

What is R?

Answer 5

Numbers that represent both rational and irrational numbers

Question 6

What is I?

Answer 6

An integer is colloquially defined as a number that can be written without a fractional component