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Lecture notes of 4 pages for the course 201-015-RE at (Sec v math)
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LinearInequalities-
Oef A linear inequality
: in ✗ is an expression of one
of the
following forms :
}
I axt 67.0
2 axtb 70 where at 6 are real ribs
3 axtb < 0
4 ax +6 ≤ 0
Inequalities interval notation
-
are most
commonly expressed using .
* a ≤ ✗ ≤ b : [at
a. is
* a < ✗ < 6 : la b) ,
I %
* a <✗ ≤ 6 :( a. 6 ] E o
* a
≤ ✗ < 6 :[ a
,
b) a %
* a ≤ × :[a. a) : i
* a < ✗ : la ,
) ao i
* ✗ ≤ 6 : C- 0,6 ] < o
* ✗ <6 : L -
,
b) < %
-
In order to solve a linear inequality we ,
need to isolate
the
the
similar to
✗ term
by performing
that which
opposite operation
used to solve linear
,
in a manner
axtb -0
is
equations
/
NB : when
multiplying dividing an
inequality by a verb we
-
-
must reverse the direction the of inequalities
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