find the solution of the following inequalities

a)  X <  X + 5   + 3 < 3x

                2

 

B) ( -X  +2 )(X  + 6)  > 0

              3-x

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1 Answer

x≤(x+5)/2+3≤3x.

Subtract x from each quantity:

0≤(5-x)/2+3≤2x.

(5-x)/2+3≥0, 5-x+6≥0, 11≥x, so x≤11.

(5-x)/2+3≤2x,

5-x+6≤4x,

11≤5x, 5x≥11, x≥11/5.

So 11/5≤x≤11.
by Top Rated User (1.2m points)

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