Question

Step by step

6x+1<9-2x

2x-1 less than or equal to 5x+20

3-(2x-7) less than or equal to 34-6x

Answer 1

x < 1

x ≤ -7

x ≤ 6

Explanation:

6x + 1 < 9 - 2x

Group Like terms

6x + 2x < 9 - 1

8x < 8

Divide through by 8

8x/8 < 8/8

X < 1

2x - 1 ≤ 5x + 20

Group like terms

2x - 5x ≤ 20 + 1

-3x ≤ 21

Divide through by -3

-3x/-3 ≤ 21/-3

x ≤ -7

3 - (2x - 7) ≤ 34 - 6x

Expand the bracket

3 - 2x + 7 ≤ 34 -6x

-2x + 10 ≤ 34 - 6x

Group like terms

-2x + 6x ≤ 34 - 10

4x ≤ 24

Divide Through by 4

4x/4 ≤ 24/4

x ≤ 6