Algebra: Chapter 9, Lesson 4, page 413.
Inequalities and Absolute Value
If the inequality with absolute values looks like: `| A | < b`, then we solve the conjunction `-b < A < b`. Think of a number line, and the solution will be within the bounds of `-b` and `b`. This also works with `≤`.
If the inequality with absolute values look like: `| A | > b`, then we solve the disjunction `A < -b` OR `A > b`. On the number line, these solutions look like arrows on the outside of the values `-b` and `b`. This works for `≥` as well.
Two of tonight’s homework problems solved by MrE are here! Just click it
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Algebra 1a: Chapter 3, Lesson 11, page 158.
More Expressions and Equations
Remember, the sum of an integer and the next integer can be represented by `x` and `(x+1)` or `x+(x+1)` or `2x+1`.
The sum of consecutive (comes right after each other) odd OR even integers can be expressed as `x` and `(x+2)` or `x+(x+2)` or `2x +2`.
If you get confused, just make a little table, like `3`, `4`, `5`, `6`, `7` and `8` and see where the variable `n ` would line up if the numbers were hidden.
Here is a link that shows a few examples too.
Two of tonight’s homework problems solved by MrE are here! Just click it!