Problem Solving: Using Mathematical Expression 2-6
Inequalities Continued
We know about > greater and as well as < less than
so now we look at
≥ which means " greater than or equal to" and
≤ which means " less than or equal to"
This time the boundary point ( or endpoint) is included in the solution set.
The good news is that we still solve these inequalities the same way in which we solved equations-- using the properties of equality.
w/4 ≥ 3
we multiply both sides by 4/1
(4/1)(w/4) ≥ 3(4/1) by the X prop =
1w ≥ 12
w ≥ 12 by the ID(x)
Which means that any number greater than 12 is part of the solution AND 12 is also part of that solution
Take the following:
b - 3 ≤ 150 ( we need to add 3 to both sides of the equation)
+3 = +3 using the + prop =
b + 0 ≤ 153
or b ≤ 153 using the ID (+)
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2 comments:
You really should try to remember that less than or equal to or greater than or equal have OR EQUAL TO. I have gotten questions wrong because I forgot those 3 little words. This is important for the symbols.
These symbols can be confusing, but they are just like the basic greater than & less than symbols, just with the OR EQUAL TO. If you remember that, you should be fine.
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