Question

30 > -6(2X +3)
show me how to solve

Answer 1

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

Answer 2

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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