Question

Tolong dijawab ya kakak kakak...
pakai jalan...

Answer 1

1.Ix-4I<6
(x-4)²<6²
x²-8x+16<36
x²-8x+16-36<0
x²-8x-20<0
(x+2)(x-10)
x=-2. x=10.
hp={xI-2<x<10}

2.Ix+3I>_7
(x+3)²>_7²
x²+6x+9>_49
x²+6x+9-49>_0
x²+6x-40>_0
(x+10)(x-4)
x=-10. x=4
hp={xIx_<-10ataux>_4}

3.I3-xI<5
(3-x) ²<5²
9-6x+x²<25
9-25-6x+x²<0
x²-6x-16<0
(x-2)(x+8)
x=2. x=-8.
Hp={xI-8<x<2}

4.I2-xI>1
(2-x)²>1²
4-4x+x²>1
4-1-4x+x²>0
x²-4x+3>0
(x-1)(x-3)
x=1. x=3
Hp={xIx<1ataux>3}
5.I2x-1I<_7
(2x-1)²<_7²
4x²-4x+1<_49
4x²-4x+1-49<_0
4x²-4x-48<_0
(2x-8)(2x+6)
2x=8. 2x=-6
x=4. x=-3
Hp={xI-3_<x_<4}