1. x² + 4x-5>02. x25x6<0 3. x²-2x-3≥0 4. x²-6x+9 > 0
Answer (1)
Answer:Here are the solutions to the inequalities: 1. x^{2}+4 x-5>0x^{2}+4 x-5=0(x+5)(x-1)=0x=-5 or x=1So, x<-5 or x>1 2. x^{2}-5 x-6<0x^{2}-5 x-6=0(x-6)(x+1)=0x=6 or x=-1So, -1<x<6 3. x^{2}-2 x-3 \geq 0x^{2}-2 x-3=0(x-3)(x+1)=0x=3 or x=-1So, x \leq-1 or x \geq 3 4. x^{2}-6 x+9>0x^{2}-6 x+9=0(x-3)^{2}=0x=3So, x \neq 3
