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In the earlier section we solved equations which contained absolute values. In this section we desire to look at inequalities which contain absolute values. We will have to examine two separate cases.
Inequalities Involving < and ≤
As we did with equations let's begin by looking at a fairly simple case.
p ≤ 4
This says that no matter what p is it ought to have a distance of no more than 4 from the origin. It means that p have to be somewhere in the range,
-4 ≤ p ≤ 4
We could have alike inequality with the < and obtain a similar result.
Generally we have the following formulas to use here,
If |p| ≤ b, b = 0 then - b ≤ p ≤ b
If |p| < b, b =0 then - b < p < b
Solve out the following system of equations by using augmented matrices. 3x - 3 y - 6 z = -3 2x - 2 y - 4 z = -2 -2x + 3 y + z = 7 Solution Notice that this system
3x+y=-2 6x+2y=10
10 to the 50th exponent
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what the hell is the problem to this solution .
Distance/Rate Problems These are some standard problems which most people think about while they think about Algebra word problems. The standard formula which we will be using
x+6=2x+2
Prove that cosets of an ideal I in a ring R are disjoint or equal
what are some facts about composition of functions?
Using synthetic division do following divisions. Divide 2x 3 - 3x - 5 by x + 2 Solution Okay in this case we have to be a little careful here. We have to divide by a
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