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Solve for x. 1/4(5/12x-3/4)>x+1/12

User Pmandell
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2 Answers

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Question:

Solve for x. 1/4(5/12x-3/4)>x+1/12

Step-by-step explanation:

Hope this helps!

Solve for x. 1/4(5/12x-3/4)>x+1/12-example-1
User Boob
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Final answer:

To solve the inequality 1/4(5/12x-3/4)>x+1/12, simplify both sides of the equation, combine like terms. Therefore, the solution for x is x < -5/43.

Step-by-step explanation:

To solve the inequality 1/4(5/12x-3/4)>x+1/12, you can begin by simplifying both sides of the equation.

Start by distributing 1/4 to the terms inside the parentheses:

1/4 * 5/12x - 1/4 * 3/4 > x + 1/12

5/48x - 3/16 > x + 1/12

Next, combine like terms by subtracting x from both sides of the equation:

5/48x - x > 3/16 + 1/12

-43/48x > 5/48

Finally, divide both sides of the equation by -43/48 (remember to change the inequality sign when dividing by a negative number):

x < 5/48 / (-43/48)

x < -5/43

Therefore, the solution for x is x < -5/43.

User Wesley Silva
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