Question

Fill in blank to show steps in solving the inequality.

Answer 1

Answer:

x > 8

Step-by-step explanation:

To isolate the variable, you must follow the order of the operations in reverse: that is, from the sum the opposite operation is the subtraction and from the multiplication the inverse is the division. As first you must undo the sum or subtraction before the multiplication, on both sides of the inequality you subtract 12, with the objective, as it was said, of isolating the variable x using the inverse operations.

-2*x+12 -12 < -4 - 12

Resolving you get:

-2*x < -16

Now, to isolate the variable x, you reapply the inverse operation, in this case the opposite operation of the multiplication.  And ou should keep in mind that if the two members of an inequality are multiplied or divided by the same negative number, the resulting inequality changes direction. For this reason you get:

-2x divided by (-2) > (-16) divided by (-2)

Resolving these accounts, you finally get:

x > 8

Answer 2

-2x +12 < -4
-2x +12 -12 < -4 - 12
-2x < -16
-2x divided by -2 > -16 divided by -2
x > 8