Page 50 - E booklet prep 2_Neat
P. 50

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

50 | P a g e
   45   46   47   48   49   50   51   52   53   54   55