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.

Step-by-step explanation:

At the second step, parentheses have been eliminated. The distributive property is used for that.

At the third step, -25-14 is replaced by -39. This process is called combine like terms.

At the last step, the inequality is divided by the coefficient of x. The division is by a negative number, so the order symbol is reversed, according to the division property of order.

Statement                                        Reason

                            (Given)

                         (Combine like terms)

                           (Addition property of order)

                                    (Subtraction property of order)

                                         (Division property of order)

Step-by-step explanation:

The given inequality is

Using distributive property, we get

Combine like terms.

Using addition property of order, add 39 on both sides.

Using subtraction property of order, subtract 4x from both sides.

Using division property of order, divide both sides by -9. If we  multiply or divide an inequality by a negative number, then the sign of inequality will change.

Hence proved.

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