Question

What is the solution of 5 - 2x > -3 or -3x + 9 < -6?

Answer 1

5−2x>−3 or −3x+9<−6
We know either 5−2x>−3 or (−3)(x)+9<−6
5−2x>−3(Possibility 1)
−2x+5>−3(Simplify both sides of the inequality)
−2x+5−5>−3−5(Subtract 5 from both sides)
−2x>−8
−2x−2>−8−2(Divide both sides by -2)
x<4
(−3)(x)+9<−6(Possibility 2)
−3x+9−9<−6−9(Subtract 9 from both sides)
−3x<−15
−3x−3<−15−3(Divide both sides by -3)
x>5
Answer:
x<4 or x>5

Answer 2

@aloud Wow thank you so much for a such a detailed step by step process. I understand it very well now

Answer 3

your very welcome