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-3/4(4x+12)< - (2x+8)

User Jaeson
by
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1 Answer

3 votes

Answer:

x>-1

Explanation:

We will assume that here the question prompt us to solve the Inequality given and find the value of x for which is true and valid.

To begin with, let us re write our inequality clear as:


-(3)/(4)(4x+12)<-(2x+8) Eqn(1).

Now, since this is an Inequality it must be noted that for any operation of multiplication/devision with a Negative number, the order of the Inequality will change from ≤ to ≥ and vice versa.

So having said that, let us solve Eqn(1) and obtain a value for
x as follow:


(3)/(4)(4x+12)>(2x+8) Remove Negative sign from both signs and change order of inequality from < to >.


(12)/(4)x+(36)/(4)>2x+8 Factor Out Bracket on Left Hand Side


(12)/(4)x+(36)/(4)>(8)/(4)x+(32)/(4) Make Common Denominator on Both Sides


12x+36>8x+32 Eliminate denominator to simplify and remove fractions


12x-8x>32-36 Gather equal terms on each side


4x>-4 Simplify


x>-1 Solve for
x

Thus solving the inequality gives that x is greater than -1:

i.e.
x>-1

User Amna Arshad
by
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