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Example: (3)

Find in R the S.S of each of the following inequalities,

and then represent the solution on the number line.

1) -3 < 2?? - 1 = 5         2) 3< 3 - 5 ?? < 13 3) -16 < 5?? + 4 = 4

Solution:

1- 3 + 1< ???? = ?? + ??

4 < ???? = ??

2 < ?? = ??                    s.s = { X : X ? R , 2 < ?? = ?? }

2- ?? - ?? < -?? ?? < ???? - ??

?? < -?? ?? < ????

0 >x >-2                       s.s = { X : X ? R , 0 > x > - 2 }

3- -16 - 4 < ???? = ?? -4

              -20 < ???? = ??

              -4 < ?? = ??     s.s = { X : X ? R , -4 < ?? = ?? }

               1ST TERM                                       MATH-PREP.2

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