Question

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

Answer 1

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