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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 (3x+ 1/ x + 4 ) ≥ 1. Solution The first thing that we have to do here is subtract 1 from both of sides and then get everything in a single rational expression. (3
one no. is 7 more than another and its square is 77 more than the square of the smaller number.What are the numbers?
Do you have any helpful hints for solving equations?
We have to give one last note on interval notation before moving on to solving inequalities. Always recall that while we are writing down an interval notation for inequality that t
Completing the Square The first method we'll learning at in this section is completing the square. This is called it since it uses a procedure called completing the square in t
y+11=(y+10)+(y-7)
how do i solve transformations,one to one formuals onto formulas
Which shows the quadratic function f(x) = 2(x - 4)2 - 7 in standard form?
so I''m having trouble. I honestly don''t under stand this. Y=4x+5. y=-1/4x+4 they want me to tell whether the line is parallel, perpendicular or neither I don''t know how.
Donna is 4 years older then Chloe, Three years ago Donna''s age was three times Chloe''s age. Find the age of each girl
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