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2Tvwo §9.4 Solving inequalities (2)
§9.4 Solving inequalities
(ongelijkheden)
Up to now we only dealt with equations, so:
'something being equal to something else'.
However,
something could also be greater than or smaller than something else!
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Wiskunde
Middelbare school
vwo
Leerjaar 2
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Lesson duration is:
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§9.4 Solving inequalities
(ongelijkheden)
Up to now we only dealt with equations, so:
'something being equal to something else'.
However,
something could also be greater than or smaller than something else!
Slide 1 - Slide
Below you see what you will learn and the kind of tasks
you are going to solve. But how?!
Do you remember the signs:
for 'smaller than' and
for 'greater than'?
Slide 2 - Slide
A balance or a graph...
Slide 3 - Slide
Next slide ....
Shows the MEANING of the process of solving an equation.
You get a good idea for what situations it could be used.
Only after that we will watch every little step!
Slide 4 - Slide
As you can see in the graphs,
for 30 minutes the water level is the same in A and B.
Task 'e' asks us for which VALUES (so more than one!) of t graph A is HIGHER then graph B
Slide 5 - Slide
Slide 6 - Slide
Finally here comes the METHOD how to
SOLVE an INEQUALITY (ongelijkheid).
Slide 7 - Slide
SOLVING INEQUALITIES:
We don't have graphs (yet), but just an INEQUALITY!
In order to SOLVE this,
we will make a SKETCH of the two graphs ourselves.
Next slides show how to do all this!
Slide 8 - Slide
The following slide shows you an example of this METHOD!
Slide 9 - Slide
Slide 10 - Slide
Slide 11 - Slide
Slide 12 - Slide
Slide 13 - Slide
Slide 14 - Slide
Slide 15 - Slide
Practicing solving inequalities!
Now you get a complete example from me to watch and try to understand.
After all this it will be much easier for you to do §9.4 Solving inequalities!
Slide 16 - Slide
Let's do c now.
Slide 17 - Slide
Slide 18 - Slide
step 1: make an equation:
Slide 19 - Slide
step 2: solve this equation:
Slide 20 - Slide
step 3: sketch the 2 graphs:
Extra (not really needed):
Slide 21 - Slide
step 4: Read off the solution from the inequality:
Solution:
Slide 22 - Slide
After all is said and done ...
There are exercises 29, 30 and 31 to be done by yourself.
In 29 and 30 no graphs are given, so just
+ work out the 4 points from the Method on p.102, we just went through
+ making sketches of both graphs, etc.
Slide 23 - Slide
Homework time
DO:
§9.4: 29, 30 and 31
CHECK your WORK with the SOLUTIONS BOOK and
SEND in a few PICS in GC
Looking forward to your work!
Slide 24 - Slide
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