1) 6x + 2 - x < 3x + 12
5x + 2 < 3x + 12
5x - 3x < 12 - 2
2x < 10
x < 5
2) 7x + 4x - 8 > 6 + 18x
11x - 8 > 6 + 18x
11x > 6+8 + 18x
11x > 14 + 18x
-7x > 14
x < -2
3) 2x - 2 - 3x - 6 < 6 + 6x
-x - 8 < 6 + 6x
6 + 6x > -x - 8
7x > -14
x > -2
4) 7y + 21 - 2y - 4 ≥ 10y + 2
5y + 17 ≥ 10y + 2
5y ≤ 15
y ≤ 3
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Answers & Comments
1) 6x + 2 - x < 3x + 12
5x + 2 < 3x + 12
5x - 3x < 12 - 2
2x < 10
x < 5
2) 7x + 4x - 8 > 6 + 18x
11x - 8 > 6 + 18x
11x > 6+8 + 18x
11x > 14 + 18x
-7x > 14
x < -2
3) 2x - 2 - 3x - 6 < 6 + 6x
-x - 8 < 6 + 6x
6 + 6x > -x - 8
7x > -14
x > -2
4) 7y + 21 - 2y - 4 ≥ 10y + 2
5y + 17 ≥ 10y + 2
5y ≤ 15
y ≤ 3