What is the reason for each step in the solution of the inequality? 4(x+6)> −5(x+5)−14 select the reason for each step from the drop-down menus. 4(x+6)> −5(x+5)−14 given 4x+24> −5x−25−14 choose 4x+24> −5x−39 choose 4x+63> −5x addition property of order 63> −9x subtraction property of order  −7< x       choose

4(x + 6) > −5(x + 5) − 14 Given

(4)(x) + (4)(6) > (-5)(x) + (-5)(5) - 14

4x + 24 > −5x − 25 − 14 Distributive property

4x + 24 > -5x - (25 + 14)

4x + 24 > −5x − 39 Simplify right side

4x + 24 + 39 > -5x -39 + 39

4x + 63 > −5x  Addition property of equality

4x - 4x + 63 > -5x - 4x

63 > −9x Subtraction property of equality

63 : (-9) < -9x : (-9)    /-9 < 0 → switch the signs/

−7 < x      Division property of equality

answer4 to the second power is 16

and 4 to the third power is 64,