Respuesta :
x > -4 is the solution to this inequality.
30 > -6(2x + 3)
Distributive property.
30 > -12x - 18
Add 18 to both sides.
48 > -12x
Divide both sides by -12.
(Because we're dividing by a negative, the inequality sign flips.)
4- < x
Isolate the x. Treat the > sign as an equal in a sense that "what you do to one side, you do to the other."
First, distribute -6 to all terms within the parenthesis
-6(2x + 3) = -6(2x) -6(3) = -12x - 18
30 > -12x - 18
Isolate the x. Do the opposite of PEMDAS. First, add 18 to both sides
30 (+18) > -12x - 18 (+18)
48 > -12x
Next, divide -12 from both sides. Note that when dividing a negative number, you must flip the sign.
(48)/-12 > (-12x)/-12
-4 < x
-4 < x is your answer
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