Answer: x < 5/3
Explanation:
-(4x + 20) < −7(x + 15/7) ............................ Question
-4x - 20 < -7(x + 15/7) ................................ Distribute
-4x - 20 < -7x - 15 ...................................... Distribute
-4x - 20 + 20 < -7x - 15 + 20 ................... Add 20 to both sides
-4x < -7x + 5 ............................................... Simplify
-4x + 7x < -7x + 5 + 7x ............................. Add 7x to both sides
3x < 5 .......................................................... Simplify
3x / 3 < 5 / 3 .............................................. Divide both sides by the same factor
x < 5/3 ......................................................... Simplify