1 Aim: HOW DO WE SOLVE INEQUALITIES? HW: p.A73 #11-24 even p://my.hrw.com/math06_07/nsmedia/tools/Graph_Calculator/graphCalc.html 5 7 3 11 x x Do Now: Solve for x: Using interval notation: Soluti on: 9, or 9 x 9 x WHEN MULTIPLYING OR DIVIDING BY A NEGATIVE, REMEMBER TO REVERSE THE INEQUALITY SIGN!!! •Parenthesis does not include the endpoint. •Bracket includes the endpoint. •Infinity never gets a bracket.
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Aim: HOW DO WE SOLVE INEQUALITIES?HW: p.A73 #11-24 even 1 Do Now: Solve for x:
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Aim: HOW DO WE SOLVE INEQUALITIES? HW: p.A73 #11-24 even
A projectile is fired straight upward from ground level with an initial velocity of 384 feet per second. During what time period will its height exceed 2000 feet?
20 016s t v t s
The position of an object moving vertically can be modeled by the position equation:
s is the height and t is the time. In this case s0 = 0, v0 = 384, and s must be greater than 2000 so:
216 384 2000t t
HW p. A74 #81, 83
216 384 0s t t
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Aim: HOW DO WE SOLVE INEQUALITIES? HW: p.A73 #11-24 even
#83: The numbers D of doctorate degrees (in thousands) awarded to female students from 1990 to 2003 in the US can be approximated by the following model, where t is the year, with t = 0 corresponding to 1990:
HW p. A74 #81, 83
(a) Use a graphing utility to graph the model
20.0165 0.755 14.06D t t 0 13t
21 0.0165 0.755 14.06y t t
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Aim: HOW DO WE SOLVE INEQUALITIES? HW: p.A73 #11-24 even
Use the models which approximate the annual numbers of hours per person spent reading daily newspapers N and playing video games V for the years 2000 to 2005, where t is the year, with t = 0 corresponding to 2000.
( ) 65V t ( ) 175N t ( ) ( )V t N t( ) ( )V t N t
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Aim: HOW DO WE SOLVE INEQUALITIES? HW: p.A73 #11-24 even