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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
Z=4X1+10X2
w^2 + 30w + 81= (-9x^3 + 3x^2 - 15x)/(-3x) (14y = 8y^2 + y^3 + 12)/(6 + y) ac + xc + aw^2 + xw^2 10a^2- 27ab + 5b^2 For the last problem I have to incorporate the following words
Paula weighs 110 pounds, and Donna weighs p pounds. Paula weighs more than Donna. Which expression shows the difference in their weights?
The last topic that we have to discuss in this section is the change of base formula. Most of the calculators these days are able of evaluating common logarithms & natural logar
linear functions
There are two given points ( x 1 , y 1 ) and ( x 2 , y 2 ), the distance between these points is prearranged by the formula: Don't allow the subscripts fright you. Th
add - 3a + b - 10 -6c, c -d- a + 9 and - 4c +2a - 3b - 7
-6k+7k
write an algebraic expression: Kelly is 2 years younger than 3 times Tracy''s age
10x-25y+5=0
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