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  • 06-07-2017
  • Mathematics
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The solution set for all real numbers x such that 2x + 3 < 19 and 2x − 3 ≤ -7 is (blank, blank]

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ghanami
ghanami ghanami
  • 06-07-2017
hello : 
2x + 3 < 19 and 2x − 3 ≤ -7 :
the system :
2x + 3 < 19 .....(1)
2x − 3 ≤ -7......(2)
by (1) : 2x 
< 16
             x < 8
by(2) : 2x  ≤ -4
           x ≤ -2
conclusion :   x < 8 and  x ≤ -2
The solution set  is : x ≤ -2
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