Question

3x + (5x - 2) <3 - 2x,
1034. 1)
4(5x - 1) - 21x > 1 - 3x;
17-11x < 9x - 2(5x + 7),
16- X > 2(1 - 4x) - 3(1 - 3x).​

Answer 1

$3x + (5x - 2) < 3 - 2x \\ 3x + 5x - 2 < 3 - 2x \\ 3x + 5x + 2x < 3 + 2 \\ 10x < 5 \\ x < 0.5$

$4(5x - 1) - 21x > 1 - 3x \\ 20x - 4 - 21x > 1 - 3x \\ 20x - 21x + 3x > 1 + 4\\ 2x > 5 \\ x > 2.5$

$17 - 11x < 9x - 2(5x + 7) \\ 17 - 11x < 9x - 10x - 14 \\ - 11x - 9x + 10x < - 14 - 17 \\ - 10x < - 31 \\ x > 3.1$

$16 - x > 2(1 - 4x) - 3(1 - 3x) \\ 16 - x > 2 - 8x - 3 + 9x \\ - x + 8x - 9x > 2 - 3 - 16 \\ - 2x > - 17 \\ x < 8.5$