2) 2(x-1)-3(x+2)>7(1+x)
2x-2-3x+6>7+7x
-3x-7x+2x>7-6+2
-8x>-1
x<1/8
x ∈ (-ထ ; 1/8)
3) 5x-3/4 - 11x/6 ⩽ 2(1-x)/3 + 3x/2
5x-3/4 - 11x/6 ⩽ 2-2x/3 + 3x/2
3(5x-3) - 22x ⩽ 4(2-2x)+18x
-7x - 9 - 22x ⩽ 8 - 8x + 18x
-7x-9 ⩽ 8+10x
-7x - 10x ⩽ 8 + 9
-17x ⩽ 17
x ⩾ -1
x ∈ (-1 ; ထ)
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Answers & Comments
2) 2(x-1)-3(x+2)>7(1+x)
2x-2-3x+6>7+7x
-3x-7x+2x>7-6+2
-8x>-1
x<1/8
x ∈ (-ထ ; 1/8)
3) 5x-3/4 - 11x/6 ⩽ 2(1-x)/3 + 3x/2
5x-3/4 - 11x/6 ⩽ 2-2x/3 + 3x/2
3(5x-3) - 22x ⩽ 4(2-2x)+18x
-7x - 9 - 22x ⩽ 8 - 8x + 18x
-7x-9 ⩽ 8+10x
-7x - 10x ⩽ 8 + 9
-17x ⩽ 17
x ⩾ -1
x ∈ (-1 ; ထ)