Question

rozwiąż nierównosci

zad.1

a) -x+4>-3(x-1)
b) 5(2x-3)-6x≥3(4x-3)
c) -0,2(5x-3)≤x-0,1

zad.2

a) x-9/4 - 2(3x-1)/3 ≥ 0
b) 3x-1/2 - 2x+1/5 ≤ x+1/10
c) 2x - x-1/4 <3x-1/2 +x
d) 2x+1/4 - x ≥ 1-x/2

Answer 1

1 zad
a) -x+4>-3(x-1)
-x+4>-3x+3
4-3>-3x+x
1>-2x
b)
5(2x-3)-6x≥3(4x-3)
10x-15-6x≥12x-9
-15+9≥12x-4x
-6≥8x

Answer 2

Zad. 1
a)-x +4 > -3x + 3
2x > -1 /:2
x > -1/2

b) 10x -15 -6x ≥ 12x -9
4x -15 ≥ 12x -9
-8x ≥ 6 /: -8
x ≤ -3/4

c) -x + 0,6 ≤ x -0,1
-2x ≤ -0,7 /:-2
x ≥ 0,35

Answer 3

zadanie 1

-x+4>-3(x-1)=-x+4>-3x+3
-x+3x>3-4
2x>-1
x>-1/2

5(2x-3)-6x≥3(4x-3)
10x-15-≥12x-9
10x-12x≥-9+15
-2x≥6/:(-2)
x ≤-3

-0,2(5x-3)≤x-0,1
-x+0.6 ≤ x-o,1
-x-x ≤-0,1-o,6
-2x ≤ -0,7/:(-2)
x ≥ 0,35