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Rule
Let a , b and c three real numbers:
? If a < ??. ??h???? ?? + ?? < ?? + ?? (?? ???? + ???? ???? - ????)
? If a < ??. ??h???? ?? × ?? < ?? × ?? (?? ???? + ????)
? If a < ??. ??h???? ?? × ?? > ?? × ?? (?? ???? - ????)
Example: (2)
Find in R the S.S of each of the following inequalities ,
then represent the solution on the number line.
1- 2?? + 6 < 2 2- 5 - 4?? = -3
Solution:
2x < 2 – 6 -4 x = -3 - 5
2x < -4 -4 x = -8
X < -2 x=2
s.s = { X : X ? R , X < -2 } s.s = { X : X ? R , X = 2}
1ST TERM MATH-PREP.2
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