solve each one

Question

x + 3 < 4(x + 1) + 2

2x - 8 ≥ 7 - 3x

3(x + 2) < 14 - x

4(x - 1) < x + 5

5 - 2( x + 1) > x

6(x - 4) ≤ 2x

Answer 1

x + 3 < 4(x + 1) + 2

x + 3 < 4x + 4 + 2

x + 3 < 4x + 6

3 < 3x

1 < x

2x - 8 ≥ 7 - 3x

2x + 3x ≥ 7 + 8

5x ≥ 15

x ≥ 3

3(x + 2) < 14 - x

3x + 6 < 14 - x

4x < 8

x < 2

4(x - 1) < x + 5

4x - 4 < x + 5

3x < 9

x < 3

5 - 2(x + 1) > x

5 - 2x - 2 > x

3 > 3x

1 > x

6(x - 4) ≤ 2x

6x - 24 ≤ 2x

4x ≤ 24

x ≤ 6