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Pease hurry

Solve the inequality for x. Show each step of the solution.

10x>8(3x-2)-12

User Ckorzhik
by
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1 Answer

5 votes

Given:


10x>8(3x-2)-12

To find:

The values of x.

Solution:

We have,


10x>8(3x-2)-12


10x>8(3x)+8(-2)-12 (Distributive property)


10x>24x-16-12


10x>24x-28 (Combining like terms)

Add 28 on both sides.


10x+28>24x

Subtract 10x from both sides.


28>24x-10x


28>14x

Divide both sides by 14.


(28)/(14)>x


2>x

Therefore, the values of x are all real numbers less than 2, i.e., x<2 .

User Scott Coates
by
8.5k points

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