Question

va rog repede imi trebuie​

Answer 1

1. x-1 <_0

X<_0+1

X<_1

X aparține lui Z => x={-infinit,....,-1, 0, 1}

2. -x+2 <0

-x <0-2

-x < -2 /×(-1)

X> 2 => x={3, 4,...,+infinit}

3. -x-5 >_0

-x>_0+5

-x>_5 /×(-1)

X<_ -5 => x={-infinit,...,-6, - 5}

4. 4x-20<_0

4x<_0+20

4x<_20 /÷4

X<_5 => x={-infinit,..., 0, 1, 2, 3, 4, 5}

5. 5(x+1)>_-45

5x+5 >_-45

5x>_ - 45-5

5x>_-50 /÷5

X>_-10 => x={-10, -9, -8,..., +infinit}

6. 4x+3<_x-6

4x-x<_-6-3

3x<_-9 /÷3

X<_-3 => x={-3, -4,...., -infinit}

7. 3x-2>_5x-8

3x-5x>_-8+2

-2x>_-6 /×(-1)

2x<_6 /÷2

X<_3 => x={-infinit,...., 0, 1, 2, 3}

8. |x|<_3 <=> -3<_x<_3 => x={±3,±2,±1,0}

9. |x+1|<_2 <=> -2<_x+1<_2 /-1 => -3<_x<_1 => x={-3, -2, -1, 0, 1}

10. 4x+7<_-2x-5

4x+2x<_-5-7

6x<_-12 /÷6

X<_-2 => x={-infinit,..., -3, -2}

11. 3x-9<_5x-1

3x-5x<_-1+9

-2x<_8 /×(-1)

2x>_-8 /÷2

X>_-4 => x={-3, -2,..., +infinit}

12. |x-3|<1 <=> -1<x-3<1 /+3 => 2<x<4 => x={3}