a)
1.
12x-3(x+1)≤2(x+1)
12x-3x-3≤2x+2
9x-3≤2x+2
9x-2x≤2+3
7x≤5
2.
x2-3x+5x-15+41≥-12x+36
2x+26≥-12+36
2x+12x≥36-26
14x≥10
{x≤5/7
{x≥5/7
x=5/7
b)
2x-1-2(4-x)>3
2x-1-8+2x>3
4x-9>3
4x>3+9
4x>12
3(x-1)<2(2-x)+3
3x-3<4-2x-3
3x-3<7-2x
3x+2x<7+3
5x<10
{x>3
{x<2
2√6-2x+6/x2-16
2√6-2x*(x2-16)+6/x2-16
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Answers & Comments
a)
1.
12x-3(x+1)≤2(x+1)
12x-3x-3≤2x+2
9x-3≤2x+2
9x-2x≤2+3
7x≤5
2.
x2-3x+5x-15+41≥-12x+36
2x+26≥-12+36
2x+12x≥36-26
14x≥10
{x≤5/7
{x≥5/7
x=5/7
b)
1.
2x-1-2(4-x)>3
2x-1-8+2x>3
4x-9>3
4x>3+9
4x>12
2.
3(x-1)<2(2-x)+3
3x-3<4-2x-3
3x-3<7-2x
3x+2x<7+3
5x<10
{x>3
{x<2
1.
2√6-2x+6/x2-16
2√6-2x*(x2-16)+6/x2-16