solve the inequality by first clearing the fraction
4/5>=2/3-2/7x
the LCD is 105 so multiply each part by 105
4/5 ≥ 2/3 - 2/7x
84 ≥ 70 - 30x
30x ≥ 70 - 84
30x ≥ -14
x ≥ -14/30
x ≥ -7/15
4/5>=2/3-2/7x
4/5 ≥ 2/3 - 2/7x
84 ≥ 70 - 30x
30x ≥ 70 - 84
30x ≥ -14
x ≥ -14/30
x ≥ -7/15