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Unformatted text preview: T CORRECT!!
Recall what a double inequality says. In a double inequality we require that both of the
inequalities be satisfied simultaneously. The double inequality above would then mean that p is a
number that is simultaneously smaller than -4 and larger than 4. This just doesn’t make sense.
There is no number that satisfies this.
These solutions must be written as two inequalities.
Here is the general formula for these. © 2007 Paul Dawkins 148 http://tutorial.math.lamar.edu/terms.aspx College Algebra If p ³ b, b > 0 then p £ -b or p ³ b If p > b, b > 0 then p < -b or p > b Again, we will require that b be a positive number here. Let’s work a couple of examples. Example 2 Solve each of the following.
(a) 2 x - 3 > 7 [Solution]
(b) 6t + 10 ³ 3 [Solution]
(c) 2 - 6 y > 10 [Solution]
(a) 2 x - 3 > 7
Again, p represents the quantity inside the absolute value bars so all we need to do here is plug
into the formula and then solve the two linear inequalities. 2 x - 3 < -7
2 x < -4
x < -2 or
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This note was uploaded on 06/06/2012 for the course ICT 4 taught by Professor Mrvinh during the Spring '12 term at Hanoi University of Technology.
- Spring '12