zadanie 1
a)
2x+5=8x-3
2x-8x=-3-5
-6x=-8
x=8/6
x=4/3
x=1 1/3
b)
-4(x+3)+4=6x
-4x-12+4=6x
-4x-8=6x
-4x-6x=8
-10x=8
x=-8/10
x=-0,8
c)
8(x+2)=3(x-4)
8x+16=3x-12
8x-3x=-12-16
5x=-28
x=-28/5
x=-5 3/5
zadanie 2
5(x+2)-3x≥7x-10
5x+10-3x≥7x-10
5x+7≥7x-10
5x-7x≥-10-7
-2x≥-17
x≤17/2
x≤8,5
x∈(-∞; 8,5>
przykłady liczb: -5, 4, 8
x+2-20x<2(3x-4)+4
-19x+2<6x-8+4
-19x+2<6x-4
-19x-6x<-4-2
-25x<-6
x>6/25
x∈(6/25; +∞)
przyklady liczb: 7/25, 1, 100
licze na naj
a 5(x+2)-3x>7x-10
5x+10-3x>7x-10
5x-3x+10.>7x-10
2x+10>7x-10
2x-7x>-10-10
-5x>-20:-5x -4 -1 0 1
x=-4x -----*-<-----|--------|------|----|----|------------------
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zadanie 1
a)
2x+5=8x-3
2x-8x=-3-5
-6x=-8
x=8/6
x=4/3
x=1 1/3
b)
-4(x+3)+4=6x
-4x-12+4=6x
-4x-8=6x
-4x-6x=8
-10x=8
x=-8/10
x=-0,8
c)
8(x+2)=3(x-4)
8x+16=3x-12
8x-3x=-12-16
5x=-28
x=-28/5
x=-5 3/5
zadanie 2
a)
5(x+2)-3x≥7x-10
5x+10-3x≥7x-10
5x+7≥7x-10
5x-7x≥-10-7
-2x≥-17
x≤17/2
x≤8,5
x∈(-∞; 8,5>
przykłady liczb: -5, 4, 8
b)
x+2-20x<2(3x-4)+4
-19x+2<6x-8+4
-19x+2<6x-4
-19x-6x<-4-2
-25x<-6
x>6/25
x∈(6/25; +∞)
przyklady liczb: 7/25, 1, 100
licze na naj
a 5(x+2)-3x>7x-10
5x+10-3x>7x-10
5x-3x+10.>7x-10
2x+10>7x-10
2x-7x>-10-10
-5x>-20:-5x -4 -1 0 1
x=-4x -----*-<-----|--------|------|----|----|------------------