Answer:
(-∞,-5) U (2,∞)
Step-by-step explanation:
we have
[tex]2x-2< -12[/tex] ----> inequality A
[tex]2x< -12+2[/tex]
[tex]x< -10/2[/tex]
[tex]x< -5[/tex]
The solution of the inequality A is the interval -----> (-∞,-5)
All real numbers less than [tex]-5[/tex]
[tex]2x+3>7[/tex] ----> inequality B
[tex]2x>7-3[/tex]
[tex]x>4/2[/tex]
[tex]x>2[/tex]
The solution of the inequality B is the interval -----> (2,∞)
All real numbers greater than [tex]2[/tex]
The solution of the compound system of inequalities is equal to
(-∞,-5) U (2,∞)
