Question

The table shows the steps for solving the given inequality for x.

7x + 16 < -5(4 - 5x)

Select the reason for each step from the drop down menus

Answer 1

Explanation:

7x + 16 < -5(4 - 5x) Given

7x + 16 < (-5)(4) + (-5)(-5x) used the distributive property

7x + 16 < -20 + 25x Distributive Property

7x - 7x + 16 < -20 + 25x - 7x subtract 7x from both sides

16 < -20 + 18x Subtraction Property of Equality

16 + 20 < -20 + 20 + 18x add 20 to both sides

36 < 18x Addition Property of Equality

36/18 < 18x/18 divide both sides by 18

2 < x Division Property of Equality