Verified answer

1. 7z + 3 ≤ 6z - 5

7z - 6z ≤ -5 - 3

z ≤ -8

2. 5/6 (5x - 2/15) - 2/5 >3

[5(5x - 2/15)] / 6 - 2/5 > 3

(25x - 10/15) / 6 > 3 + 2/5

(25x - 2/3) / 6 > 17/5

{[3(25)x - 2]/3} / 6 > 17/5

[6(75x - 2)]/3 > 17/5

[450x - 12]/3 > 17/5

[3(150x - 4)]/3 > 17/5

150x - 4 > 17/5

150x > 17/5 + 4

150x > 37/5

x > 37/750

3(x-5)+3x=4x+5 Multiply each and each factor in () by 3 3x-15+3x=4x+5 upload the 3x and 3x 6x-15=4x+5 upload 15 to the two factors 6x=4x+20 Subtract 4x from the two factors 2x=20 Divide the two factors by 2 x=10